79066368000 has 1152 divisors, whose sum is σ = 312520965120. Its totient is φ = 19906560000.

The previous prime is 79066367999. The next prime is 79066368001. The reversal of 79066368000 is 86366097.

79066368000 is a `hidden beast` number, since 7 + 9 + 0 + 6 + 636 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (79066367999) and next prime (79066368001).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×79066368000² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (79066368001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1928447980 + ... + 1928448020.

It is an arithmetic number, because the mean of its divisors is an integer number (271285560).

Almost surely, 2^79066368000 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 79066368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156260482560).

79066368000 is an abundant number, since it is smaller than the sum of its proper divisors (233454597120).

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

79066368000 is an equidigital number, since it uses as much as digits as its factorization.

79066368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 79066368000 in words is "seventy-nine billion, sixty-six million, three hundred sixty-eight thousand".