12761102640 has 320 divisors, whose sum is σ = 47138982912. Its totient is φ = 2814873600.

The previous prime is 12761102603. The next prime is 12761102657. The reversal of 12761102640 is 4620116721.

It is a super-2 number, since 2×12761102640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12761102598 and 12761102607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2434102 + ... + 2439338.

Almost surely, 2^12761102640 is an apocalyptic number.

12761102640 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 12761102640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23569491456).

12761102640 is an abundant number, since it is smaller than the sum of its proper divisors (34377880272).

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

12761102640 is a wasteful number, since it uses less digits than its factorization.

12761102640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5348 (or 5342 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 12761102640 in words is "twelve billion, seven hundred sixty-one million, one hundred two thousand, six hundred forty".