79091437824 has 729 divisors, whose sum is σ = 284632335351. Its totient is φ = 21868600320.

The previous prime is 79091437813. The next prime is 79091437847. The reversal of 79091437824 is 42873419097.

The square root of 79091437824 is 281232.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (729).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2551336689 + ... + 2551336719.

Almost surely, 2^79091437824 is an apocalyptic number.

79091437824 is the 281232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79091437824

79091437824 is an abundant number, since it is smaller than the sum of its proper divisors (205540897527).

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

79091437824 is an frugal number, since it uses more digits than its factorization.

79091437824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 79091437824 in words is "seventy-nine billion, ninety-one million, four hundred thirty-seven thousand, eight hundred twenty-four".