10637312640 has 384 divisors, whose sum is σ = 36374832000. Its totient is φ = 2643369984.

The previous prime is 10637312617. The next prime is 10637312657. The reversal of 10637312640 is 4621373601.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10637312640² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71391286 + ... + 71391434.

It is an arithmetic number, because the mean of its divisors is an integer number (94726125).

Almost surely, 2^10637312640 is an apocalyptic number.

10637312640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10637312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18187416000).

10637312640 is an abundant number, since it is smaller than the sum of its proper divisors (25737519360).

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

10637312640 is a wasteful number, since it uses less digits than its factorization.

10637312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 10637312640 in words is "ten billion, six hundred thirty-seven million, three hundred twelve thousand, six hundred forty".