306472966740864 has 5120 divisors, whose sum is σ = 1309271587430400. Its totient is φ = 68960464404480.

The previous prime is 306472966740817. The next prime is 306472966740917. The reversal of 306472966740864 is 468047669274603.

306472966740864 is a `hidden beast` number, since 3 + 0 + 6 + 4 + 72 + 96 + 6 + 7 + 408 + 64 = 666.

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 = 306472966740792 and 306472966740801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 4198259818332 + ... + 4198259818404.

It is an arithmetic number, because the mean of its divisors is an integer number (255717106920).

Almost surely, 2^{306472966740864} is an apocalyptic number.

306472966740864 is a gapful number since it is divisible by the number (34) 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 306472966740864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654635793715200).

306472966740864 is an abundant number, since it is smaller than the sum of its proper divisors (1002798620689536).

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

306472966740864 is an equidigital number, since it uses as much as digits as its factorization.

306472966740864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1755758592, while the sum is 72.

The spelling of 306472966740864 in words is "three hundred six trillion, four hundred seventy-two billion, nine hundred sixty-six million, seven hundred forty thousand, eight hundred sixty-four".