79138650240 has 1536 divisors, whose sum is σ = 340896729600. Its totient is φ = 17206345728.

The previous prime is 79138650233. The next prime is 79138650259. The reversal of 79138650240 is 4205683197.

79138650240 is a `hidden beast` number, since 7 + 9 + 138 + 6 + 502 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1493182054 + ... + 1493182106.

It is an arithmetic number, because the mean of its divisors is an integer number (221937975).

It is a 1-persistent number, because it is pandigital, but 2⋅79138650240 = 158277300480 is not.

Almost surely, 2^79138650240 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 79138650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170448364800).

79138650240 is an abundant number, since it is smaller than the sum of its proper divisors (261758079360).

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

79138650240 is a wasteful number, since it uses less digits than its factorization.

79138650240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 79138650240 in words is "seventy-nine billion, one hundred thirty-eight million, six hundred fifty thousand, two hundred forty".