271964079636480 has 6720 divisors, whose sum is σ = 1336762741708800. Its totient is φ = 52438656614400.

The previous prime is 271964079636479. The next prime is 271964079636481. The reversal of 271964079636480 is 84636970469172.

It is a happy number.

271964079636480 is a `hidden beast` number, since 2 + 7 + 1 + 9 + 6 + 40 + 79 + 6 + 36 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (271964079636479) and next prime (271964079636481).

It is a tau number, because it is divible by the number of its divisors (6720).

It is a super-2 number, since 2×271964079636480² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 271964079636399 and 271964079636408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271964079636481) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 3830479994845 + ... + 3830479994915.

It is an arithmetic number, because the mean of its divisors is an integer number (198923027040).

Almost surely, 2^{271964079636480} is an apocalyptic number.

271964079636480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271964079636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668381370854400).

271964079636480 is an abundant number, since it is smaller than the sum of its proper divisors (1064798662072320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

271964079636480 is an frugal number, since it uses more digits than its factorization.

271964079636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 271964079636480 in words is "two hundred seventy-one trillion, nine hundred sixty-four billion, seventy-nine million, six hundred thirty-six thousand, four hundred eighty".