272717383680 has 1344 divisors, whose sum is σ = 1191073403520. Its totient is φ = 58477510656.

The previous prime is 272717383649. The next prime is 272717383703. The reversal of 272717383680 is 86383717272.

It is a happy number.

272717383680 is a `hidden beast` number, since 2 + 7 + 271 + 7 + 3 + 8 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×272717383680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 888330087 + ... + 888330393.

It is an arithmetic number, because the mean of its divisors is an integer number (886215330).

Almost surely, 2^272717383680 is an apocalyptic number.

272717383680 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 272717383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595536701760).

272717383680 is an abundant number, since it is smaller than the sum of its proper divisors (918356019840).

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

272717383680 is an equidigital number, since it uses as much as digits as its factorization.

272717383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 272717383680 in words is "two hundred seventy-two billion, seven hundred seventeen million, three hundred eighty-three thousand, six hundred eighty".