12692634240 has 256 divisors, whose sum is σ = 47531836800. Its totient is φ = 2840248320.

The previous prime is 12692634233. The next prime is 12692634257. The reversal of 12692634240 is 4243629621.

It is a super-2 number, since 2×12692634240² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251446 + ... + 297674.

Almost surely, 2^12692634240 is an apocalyptic number.

12692634240 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 12692634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23765918400).

12692634240 is an abundant number, since it is smaller than the sum of its proper divisors (34839202560).

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

12692634240 is a wasteful number, since it uses less digits than its factorization.

12692634240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46275 (or 46263 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 12692634240 in words is "twelve billion, six hundred ninety-two million, six hundred thirty-four thousand, two hundred forty".