10007620864 has 18 divisors (see below), whose sum is σ = 19976149970. Its totient is φ = 5003810304.

The previous prime is 10007620859. The next prime is 10007620871. The reversal of 10007620864 is 46802670001.

It can be written as a sum of positive squares in only one way, i.e., 6619449600 + 3388171264 = 81360^2 + 58208^2 .

It is a super-3 number, since 3×10007620864³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19545879 + ... + 19546390.

Almost surely, 2^10007620864 is an apocalyptic number.

It is an amenable number.

10007620864 is a deficient number, since it is larger than the sum of its proper divisors (9968529106).

10007620864 is an frugal number, since it uses more digits than its factorization.

10007620864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39092285 (or 39092271 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 10007620864 in words is "ten billion, seven million, six hundred twenty thousand, eight hundred sixty-four".