12764246800 has 30 divisors (see below), whose sum is σ = 30666103898. Its totient is φ = 5105698560.

The previous prime is 12764246783. The next prime is 12764246837. The reversal of 12764246800 is 864246721.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 156550144 + 12607696656 = 12512^2 + 112284^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15954909 + ... + 15955708.

Almost surely, 2^12764246800 is an apocalyptic number.

12764246800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12764246800 is an abundant number, since it is smaller than the sum of its proper divisors (17901857098).

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

12764246800 is a wasteful number, since it uses less digits than its factorization.

12764246800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31910635 (or 31910624 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 12764246800 in words is "twelve billion, seven hundred sixty-four million, two hundred forty-six thousand, eight hundred".