7979035069152 has 576 divisors, whose sum is σ = 28537417359360. Its totient is φ = 2143626591744.

The previous prime is 7979035069141. The next prime is 7979035069183. The reversal of 7979035069152 is 2519605309797.

7979035069152 is a `hidden beast` number, since 7 + 9 + 79 + 0 + 3 + 506 + 9 + 1 + 52 = 666.

It is a super-2 number, since 2×7979035069152² (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 a self number, because there is not a number n which added to its sum of digits gives 7979035069152.

It is a congruent number.

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, 73810213 + ... + 73918235.

It is an arithmetic number, because the mean of its divisors is an integer number (49544127360).

Almost surely, 2^{7979035069152} is an apocalyptic number.

7979035069152 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 7979035069152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14268708679680).

7979035069152 is an abundant number, since it is smaller than the sum of its proper divisors (20558382290208).

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

7979035069152 is a wasteful number, since it uses less digits than its factorization.

7979035069152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108137 (or 108117 counting only the distinct ones).

The product of its (nonzero) digits is 32148900, while the sum is 63.

The spelling of 7979035069152 in words is "seven trillion, nine hundred seventy-nine billion, thirty-five million, sixty-nine thousand, one hundred fifty-two".