79152906240 has 512 divisors, whose sum is σ = 291604536000. Its totient is φ = 20346568704.

The previous prime is 79152906221. The next prime is 79152906277. The reversal of 79152906240 is 4260925197.

79152906240 is a `hidden beast` number, since 7 + 9 + 15 + 2 + 9 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128286412 + ... + 128287028.

Almost surely, 2^79152906240 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 79152906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145802268000).

79152906240 is an abundant number, since it is smaller than the sum of its proper divisors (212451629760).

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

79152906240 is an equidigital number, since it uses as much as digits as its factorization.

79152906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 79152906240 in words is "seventy-nine billion, one hundred fifty-two million, nine hundred six thousand, two hundred forty".