7975913145984 has 512 divisors, whose sum is σ = 27395117568000. Its totient is φ = 2237240217600.

The previous prime is 7975913145973. The next prime is 7975913146013. The reversal of 7975913145984 is 4895413195797.

7975913145984 is a `hidden beast` number, since 7 + 9 + 7 + 5 + 9 + 13 + 14 + 598 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 1217507509 + ... + 1217514059.

It is an arithmetic number, because the mean of its divisors is an integer number (53506089000).

Almost surely, 2^{7975913145984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7975913145984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13697558784000).

7975913145984 is an abundant number, since it is smaller than the sum of its proper divisors (19419204422016).

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

7975913145984 is a wasteful number, since it uses less digits than its factorization.

7975913145984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7493 (or 7475 counting only the distinct ones).

The product of its digits is 342921600, while the sum is 72.

The spelling of 7975913145984 in words is "seven trillion, nine hundred seventy-five billion, nine hundred thirteen million, one hundred forty-five thousand, nine hundred eighty-four".