7947880579584 has 1120 divisors, whose sum is σ = 26970156728064. Its totient is φ = 2317601341440.

The previous prime is 7947880579549. The next prime is 7947880579601. The reversal of 7947880579584 is 4859750887497.

7947880579584 is a `hidden beast` number, since 7 + 9 + 478 + 8 + 0 + 57 + 95 + 8 + 4 = 666.

It is a super-2 number, since 2×7947880579584² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 17166048537 + ... + 17166048999.

Almost surely, 2^{7947880579584} is an apocalyptic number.

7947880579584 is a gapful number since it is divisible by the number (74) 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 7947880579584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13485078364032).

7947880579584 is an abundant number, since it is smaller than the sum of its proper divisors (19022276148480).

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

7947880579584 is a wasteful number, since it uses less digits than its factorization.

7947880579584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 5689958400, while the sum is 81.

The spelling of 7947880579584 in words is "seven trillion, nine hundred forty-seven billion, eight hundred eighty million, five hundred seventy-nine thousand, five hundred eighty-four".