10464536624004 has 36 divisors (see below), whose sum is σ = 26694702254220. Its totient is φ = 3456177232320.

The previous prime is 10464536623973. The next prime is 10464536624021. The reversal of 10464536624004 is 40042663546401.

10464536624004 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 45 + 366 + 240 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3523166540100 + 6941370083904 = 1877010^2 + 2634648^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1333397787 + ... + 1333405634.

Almost surely, 2^{10464536624004} is an apocalyptic number.

It is an amenable number.

10464536624004 is an abundant number, since it is smaller than the sum of its proper divisors (16230165630216).

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

10464536624004 is a wasteful number, since it uses less digits than its factorization.

10464536624004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666803540 (or 2666803535 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 10464536624004 in words is "ten trillion, four hundred sixty-four billion, five hundred thirty-six million, six hundred twenty-four thousand, four".