10304567724672 has 96 divisors (see below), whose sum is σ = 31933426068180. Its totient is φ = 3170636218368.

The previous prime is 10304567724641. The next prime is 10304567724673. The reversal of 10304567724672 is 27642776540301.

10304567724672 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 4 + 567 + 7 + 2 + 4 + 6 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10303945920576 + 621804096 = 3209976^2 + 24936^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (10304567724673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 344021073 + ... + 344051024.

Almost surely, 2^{10304567724672} is an apocalyptic number.

10304567724672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10304567724672 is an abundant number, since it is smaller than the sum of its proper divisors (21628858343508).

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

10304567724672 is a wasteful number, since it uses less digits than its factorization.

10304567724672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688072130 (or 688072115 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 10304567724672 in words is "ten trillion, three hundred four billion, five hundred sixty-seven million, seven hundred twenty-four thousand, six hundred seventy-two".