79149198240 has 1152 divisors, whose sum is σ = 333428659200. Its totient is φ = 17069875200.

The previous prime is 79149198223. The next prime is 79149198253. The reversal of 79149198240 is 4289194197.

79149198240 is a `hidden beast` number, since 79 + 1 + 491 + 9 + 82 + 4 + 0 = 666.

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, 1114777405 + ... + 1114777475.

It is an arithmetic number, because the mean of its divisors is an integer number (289434600).

Almost surely, 2^79149198240 is an apocalyptic number.

79149198240 is a gapful number since it is divisible by the number (70) 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 79149198240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166714329600).

79149198240 is an abundant number, since it is smaller than the sum of its proper divisors (254279460960).

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

79149198240 is a wasteful number, since it uses less digits than its factorization.

79149198240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 79149198240 in words is "seventy-nine billion, one hundred forty-nine million, one hundred ninety-eight thousand, two hundred forty".