7997569437312 has 768 divisors, whose sum is σ = 29457652224000. Its totient is φ = 2103228592128.

The previous prime is 7997569437293. The next prime is 7997569437397. The reversal of 7997569437312 is 2137349657997.

It is a happy number.

7997569437312 is a `hidden beast` number, since 7 + 9 + 9 + 7 + 569 + 43 + 7 + 3 + 12 = 666.

It is a super-2 number, since 2×7997569437312² (a number of 27 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 1038776439 + ... + 1038784137.

It is an arithmetic number, because the mean of its divisors is an integer number (38356318000).

Almost surely, 2^{7997569437312} is an apocalyptic number.

7997569437312 is a gapful number since it is divisible by the number (72) 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 7997569437312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14728826112000).

7997569437312 is an abundant number, since it is smaller than the sum of its proper divisors (21460082786688).

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

7997569437312 is a wasteful number, since it uses less digits than its factorization.

7997569437312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8115 (or 8091 counting only the distinct ones).

The product of its digits is 540101520, while the sum is 72.

The spelling of 7997569437312 in words is "seven trillion, nine hundred ninety-seven billion, five hundred sixty-nine million, four hundred thirty-seven thousand, three hundred twelve".