247979128320 has 1920 divisors, whose sum is σ = 1153078198272. Its totient is φ = 49567334400.

The previous prime is 247979128259. The next prime is 247979128381. The reversal of 247979128320 is 23821979742.

It is a happy number.

247979128320 is a `hidden beast` number, since 2 + 479 + 7 + 91 + 2 + 83 + 2 + 0 = 666.

247979128320 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (247979128259) and next prime (247979128381).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×247979128320² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1484904877 + ... + 1484905043.

Almost surely, 2^247979128320 is an apocalyptic number.

247979128320 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 247979128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576539099136).

247979128320 is an abundant number, since it is smaller than the sum of its proper divisors (905099069952).

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

247979128320 is a wasteful number, since it uses less digits than its factorization.

247979128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 247979128320 in words is "two hundred forty-seven billion, nine hundred seventy-nine million, one hundred twenty-eight thousand, three hundred twenty".