79488864000 has 1440 divisors, whose sum is σ = 365145196416. Its totient is φ = 16721510400.

The previous prime is 79488863983. The next prime is 79488864017. The reversal of 79488864000 is 46888497.

It is an interprime number because it is at equal distance from previous prime (79488863983) and next prime (79488864017).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 235871832 + ... + 235872168.

Almost surely, 2^79488864000 is an apocalyptic number.

79488864000 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 79488864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182572598208).

79488864000 is an abundant number, since it is smaller than the sum of its proper divisors (285656332416).

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

79488864000 is a wasteful number, since it uses less digits than its factorization.

79488864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 79488864000 in words is "seventy-nine billion, four hundred eighty-eight million, eight hundred sixty-four thousand".