12679046640 has 400 divisors, whose sum is σ = 48593514816. Its totient is φ = 3044044800.

The previous prime is 12679046629. The next prime is 12679046659. The reversal of 12679046640 is 4664097621.

12679046640 is a `hidden beast` number, since 1 + 2 + 67 + 90 + 466 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3452005 + ... + 3455675.

Almost surely, 2^12679046640 is an apocalyptic number.

12679046640 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 12679046640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24296757408).

12679046640 is an abundant number, since it is smaller than the sum of its proper divisors (35914468176).

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

12679046640 is a wasteful number, since it uses less digits than its factorization.

12679046640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3750 (or 3735 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 12679046640 in words is "twelve billion, six hundred seventy-nine million, forty-six thousand, six hundred forty".