80064864000 has 864 divisors, whose sum is σ = 318353817600. Its totient is φ = 19160064000.

The previous prime is 80064863951. The next prime is 80064864017. The reversal of 80064864000 is 46846008.

80064864000 is a `hidden beast` number, since 8 + 0 + 0 + 6 + 4 + 8 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 402335901 + ... + 402336099.

Almost surely, 2^80064864000 is an apocalyptic number.

80064864000 is a gapful number since it is divisible by the number (80) 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 80064864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159176908800).

80064864000 is an abundant number, since it is smaller than the sum of its proper divisors (238288953600).

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

80064864000 is a wasteful number, since it uses less digits than its factorization.

80064864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 80064864000 in words is "eighty billion, sixty-four million, eight hundred sixty-four thousand".