12976044480 has 672 divisors, whose sum is σ = 54674780160. Its totient is φ = 2866544640.

The previous prime is 12976044469. The next prime is 12976044583. The reversal of 12976044480 is 8444067921.

12976044480 is a `hidden beast` number, since 129 + 7 + 6 + 0 + 44 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 16873536 + ... + 16874304.

It is an arithmetic number, because the mean of its divisors is an integer number (81361280).

Almost surely, 2^12976044480 is an apocalyptic number.

12976044480 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 12976044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27337390080).

12976044480 is an abundant number, since it is smaller than the sum of its proper divisors (41698735680).

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

12976044480 is an equidigital number, since it uses as much as digits as its factorization.

12976044480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12976044480 in words is "twelve billion, nine hundred seventy-six million, forty-four thousand, four hundred eighty".