12076646400 has 1020 divisors, whose sum is σ = 55064499952. Its totient is φ = 2548039680.

The previous prime is 12076646377. The next prime is 12076646431. The reversal of 12076646400 is 464667021.

12076646400 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 6 + 6 + 4 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 928972794 + ... + 928972806.

Almost surely, 2^12076646400 is an apocalyptic number.

12076646400 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 12076646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27532249976).

12076646400 is an abundant number, since it is smaller than the sum of its proper divisors (42987853552).

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

12076646400 is an frugal number, since it uses more digits than its factorization.

12076646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 12076646400 in words is "twelve billion, seventy-six million, six hundred forty-six thousand, four hundred".