12962942640 has 240 divisors, whose sum is σ = 45083900160. Its totient is φ = 3334440960.

The previous prime is 12962942639. The next prime is 12962942689. The reversal of 12962942640 is 4624926921.

12962942640 is a `hidden beast` number, since 12 + 9 + 629 + 4 + 2 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 8681734 + ... + 8683226.

It is an arithmetic number, because the mean of its divisors is an integer number (187849584).

Almost surely, 2^12962942640 is an apocalyptic number.

12962942640 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 12962942640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22541950080).

12962942640 is an abundant number, since it is smaller than the sum of its proper divisors (32120957520).

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

12962942640 is a wasteful number, since it uses less digits than its factorization.

12962942640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 12962942640 in words is "twelve billion, nine hundred sixty-two million, nine hundred forty-two thousand, six hundred forty".