7917875632384 has 81 divisors (see below), whose sum is σ = 16037034823201. Its totient is φ = 3901602360320.

The previous prime is 7917875632369. The next prime is 7917875632423. The reversal of 7917875632384 is 4832365787197.

The square root of 7917875632384 is 2813872.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3974759942400 + 3943115689984 = 1993680^2 + 1985728^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3196557354 + ... + 3196559830.

Almost surely, 2^{7917875632384} is an apocalyptic number.

7917875632384 is the 2813872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7917875632384

7917875632384 is an abundant number, since it is smaller than the sum of its proper divisors (8119159190817).

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

7917875632384 is an frugal number, since it uses more digits than its factorization.

7917875632384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5112 (or 2550 counting only the distinct ones).

The product of its digits is 426746880, while the sum is 70.

The spelling of 7917875632384 in words is "seven trillion, nine hundred seventeen billion, eight hundred seventy-five million, six hundred thirty-two thousand, three hundred eighty-four".