79653068352 has 336 divisors, whose sum is σ = 271643124480. Its totient is φ = 21996748800.

The previous prime is 79653068329. The next prime is 79653068371. The reversal of 79653068352 is 25386035697.

It is a happy number.

79653068352 is a `hidden beast` number, since 79 + 6 + 530 + 6 + 8 + 35 + 2 = 666.

It is a super-2 number, since 2×79653068352² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6500952 + ... + 6513192.

It is an arithmetic number, because the mean of its divisors is an integer number (808461680).

Almost surely, 2^79653068352 is an apocalyptic number.

79653068352 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 79653068352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135821562240).

79653068352 is an abundant number, since it is smaller than the sum of its proper divisors (191990056128).

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

79653068352 is a wasteful number, since it uses less digits than its factorization.

79653068352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12362 (or 12349 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 79653068352 in words is "seventy-nine billion, six hundred fifty-three million, sixty-eight thousand, three hundred fifty-two".