10634431680 has 140 divisors (see below), whose sum is σ = 37828636560. Its totient is φ = 2835841536.

The previous prime is 10634431667. The next prime is 10634431681. The reversal of 10634431680 is 8613443601.

It is a happy number.

10634431680 is a `hidden beast` number, since 1 + 0 + 634 + 4 + 3 + 16 + 8 + 0 = 666.

It is a super-2 number, since 2×10634431680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10634431681) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 179220 + ... + 231059.

Almost surely, 2^10634431680 is an apocalyptic number.

10634431680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10634431680 is an abundant number, since it is smaller than the sum of its proper divisors (27194204880).

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

10634431680 is an equidigital number, since it uses as much as digits as its factorization.

10634431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410308 (or 410289 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 10634431680 in words is "ten billion, six hundred thirty-four million, four hundred thirty-one thousand, six hundred eighty".