10007687564 has 12 divisors (see below), whose sum is σ = 20015375184. Its totient is φ = 4289008944.

The previous prime is 10007687563. The next prime is 10007687579. The reversal of 10007687564 is 46578670001.

10007687564 is an admirable number.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10007687563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 178708679 + ... + 178708734.

It is an arithmetic number, because the mean of its divisors is an integer number (1667947932).

Almost surely, 2^10007687564 is an apocalyptic number.

10007687564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10007687564 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

10007687564 is a wasteful number, since it uses less digits than its factorization.

10007687564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357417424 (or 357417422 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 10007687564 in words is "ten billion, seven million, six hundred eighty-seven thousand, five hundred sixty-four".