10007687604 has 48 divisors (see below), whose sum is σ = 24207321600. Its totient is φ = 3214087296.

The previous prime is 10007687579. The next prime is 10007687611. The reversal of 10007687604 is 40678670001.

It is a super-2 number, since 2×10007687604² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136674 + ... + 196710.

It is an arithmetic number, because the mean of its divisors is an integer number (504319200).

Almost surely, 2^10007687604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10007687604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12103660800).

10007687604 is an abundant number, since it is smaller than the sum of its proper divisors (14199633996).

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

10007687604 is a wasteful number, since it uses less digits than its factorization.

10007687604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60552 (or 60550 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 10007687604 in words is "ten billion, seven million, six hundred eighty-seven thousand, six hundred four".