8073164008000 has 224 divisors, whose sum is σ = 24607006115328. Its totient is φ = 2555023104000.

The previous prime is 8073164007943. The next prime is 8073164008031. The reversal of 8073164008000 is 8004613708.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4816756 + ... + 6272755.

It is an arithmetic number, because the mean of its divisors is an integer number (109852705872).

Almost surely, 2^{8073164008000} is an apocalyptic number.

8073164008000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8073164008000 is an abundant number, since it is smaller than the sum of its proper divisors (16533842107328).

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

8073164008000 is a wasteful number, since it uses less digits than its factorization.

8073164008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11089558 (or 11089538 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 8073164008000 in words is "eight trillion, seventy-three billion, one hundred sixty-four million, eight thousand".