79465680000 has 480 divisors, whose sum is σ = 326588708160. Its totient is φ = 18162432000.

The previous prime is 79465679999. The next prime is 79465680017. The reversal of 79465680000 is 8656497.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5032117 + ... + 5047883.

It is an arithmetic number, because the mean of its divisors is an integer number (680393142).

Almost surely, 2^79465680000 is an apocalyptic number.

79465680000 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 79465680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163294354080).

79465680000 is an abundant number, since it is smaller than the sum of its proper divisors (247123028160).

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

79465680000 is a wasteful number, since it uses less digits than its factorization.

79465680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15814 (or 15784 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 79465680000 in words is "seventy-nine billion, four hundred sixty-five million, six hundred eighty thousand".