79728247299456 has 960 divisors, whose sum is σ = 292630570095600. Its totient is φ = 21411150888960.

The previous prime is 79728247299431. The next prime is 79728247299469. The reversal of 79728247299456 is 65499274282797.

79728247299456 is a `hidden beast` number, since 7 + 9 + 7 + 2 + 8 + 2 + 4 + 72 + 99 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6986958391 + ... + 6986969801.

Almost surely, 2^{79728247299456} 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 79728247299456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146315285047800).

79728247299456 is an abundant number, since it is smaller than the sum of its proper divisors (212902322796144).

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

79728247299456 is a wasteful number, since it uses less digits than its factorization.

79728247299456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12277 (or 12249 counting only the distinct ones).

The product of its digits is 7681443840, while the sum is 81.

The spelling of 79728247299456 in words is "seventy-nine trillion, seven hundred twenty-eight billion, two hundred forty-seven million, two hundred ninety-nine thousand, four hundred fifty-six".