305906656720896 has 4320 divisors, whose sum is σ = 1230879979929600. Its totient is φ = 75322043596800.

The previous prime is 305906656720883. The next prime is 305906656720939. The reversal of 305906656720896 is 698027656609503.

305906656720896 is a `hidden beast` number, since 3 + 0 + 59 + 0 + 6 + 6 + 567 + 2 + 0 + 8 + 9 + 6 = 666.

It is a super-2 number, since 2×305906656720896² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2408713832385 + ... + 2408713832511.

It is an arithmetic number, because the mean of its divisors is an integer number (284925921280).

Almost surely, 2^{305906656720896} is an apocalyptic number.

305906656720896 is a gapful number since it is divisible by the number (36) 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 305906656720896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615439989964800).

305906656720896 is an abundant number, since it is smaller than the sum of its proper divisors (924973323208704).

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

305906656720896 is a wasteful number, since it uses less digits than its factorization.

305906656720896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 305906656720896 in words is "three hundred five trillion, nine hundred six billion, six hundred fifty-six million, seven hundred twenty thousand, eight hundred ninety-six".