12297632760 has 256 divisors, whose sum is σ = 46927641600. Its totient is φ = 2806119936.

The previous prime is 12297632749. The next prime is 12297632807. The reversal of 12297632760 is 6723679221.

12297632760 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 7 + 632 + 7 + 6 + 0 = 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 63 ways as a sum of consecutive naturals, for example, 6447727 + ... + 6449633.

It is an arithmetic number, because the mean of its divisors is an integer number (183311100).

Almost surely, 2^12297632760 is an apocalyptic number.

12297632760 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 12297632760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23463820800).

12297632760 is an abundant number, since it is smaller than the sum of its proper divisors (34630008840).

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

12297632760 is a wasteful number, since it uses less digits than its factorization.

12297632760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 12297632760 in words is "twelve billion, two hundred ninety-seven million, six hundred thirty-two thousand, seven hundred sixty".