12704670590976 has 1152 divisors, whose sum is σ = 47174352825600. Its totient is φ = 3203593666560.

The previous prime is 12704670590879. The next prime is 12704670590999. The reversal of 12704670590976 is 67909507640721.

12704670590976 is a `hidden beast` number, since 12 + 7 + 0 + 467 + 0 + 5 + 90 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×12704670590976² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 5204697916 + ... + 5204700356.

It is an arithmetic number, because the mean of its divisors is an integer number (40949959050).

Almost surely, 2^{12704670590976} is an apocalyptic number.

12704670590976 is a gapful number since it is divisible by the number (16) 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 12704670590976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587176412800).

12704670590976 is an abundant number, since it is smaller than the sum of its proper divisors (34469682234624).

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

12704670590976 is a wasteful number, since it uses less digits than its factorization.

12704670590976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 12704670590976 in words is "twelve trillion, seven hundred four billion, six hundred seventy million, five hundred ninety thousand, nine hundred seventy-six".