79566384000 has 512 divisors, whose sum is σ = 278442178560. Its totient is φ = 20058931200.

The previous prime is 79566383927. The next prime is 79566384017. The reversal of 79566384000 is 48366597.

It is a super-3 number, since 3×79566384000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107087629 + ... + 107088371.

It is an arithmetic number, because the mean of its divisors is an integer number (543832380).

Almost surely, 2^79566384000 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 79566384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139221089280).

79566384000 is an abundant number, since it is smaller than the sum of its proper divisors (198875794560).

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

79566384000 is a wasteful number, since it uses less digits than its factorization.

79566384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 79566384000 in words is "seventy-nine billion, five hundred sixty-six million, three hundred eighty-four thousand".