79074672768 has 864 divisors, whose sum is σ = 298207269360. Its totient is φ = 20786927616.

The previous prime is 79074672767. The next prime is 79074672811. The reversal of 79074672768 is 86727647097.

79074672768 is a `hidden beast` number, since 7 + 90 + 7 + 467 + 27 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (79074672767) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 257572071 + ... + 257572377.

Almost surely, 2^79074672768 is an apocalyptic number.

79074672768 is a gapful number since it is divisible by the number (78) 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 79074672768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149103634680).

79074672768 is an abundant number, since it is smaller than the sum of its proper divisors (219132596592).

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

79074672768 is a wasteful number, since it uses less digits than its factorization.

79074672768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 79074672768 in words is "seventy-nine billion, seventy-four million, six hundred seventy-two thousand, seven hundred sixty-eight".