79272311040 has 1152 divisors, whose sum is σ = 327101483520. Its totient is φ = 18006147072.

The previous prime is 79272311039. The next prime is 79272311047. The reversal of 79272311040 is 4011327297.

79272311040 is a `hidden beast` number, since 79 + 272 + 311 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 79272310986 and 79272311004.

It is not an unprimeable number, because it can be changed into a prime (79272311047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 740862667 + ... + 740862773.

It is an arithmetic number, because the mean of its divisors is an integer number (283942260).

Almost surely, 2^79272311040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79272311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163550741760).

79272311040 is an abundant number, since it is smaller than the sum of its proper divisors (247829172480).

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

79272311040 is a wasteful number, since it uses less digits than its factorization.

79272311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 79272311040 in words is "seventy-nine billion, two hundred seventy-two million, three hundred eleven thousand, forty".