8073657016320 has 1792 divisors, whose sum is σ = 32884691558400. Its totient is φ = 1648864788480.

The previous prime is 8073657016301. The next prime is 8073657016351. The reversal of 8073657016320 is 236107563708.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8073657016320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33500651400 + ... + 33500651640.

Almost surely, 2^{8073657016320} is an apocalyptic number.

8073657016320 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 8073657016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16442345779200).

8073657016320 is an abundant number, since it is smaller than the sum of its proper divisors (24811034542080).

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

8073657016320 is a wasteful number, since it uses less digits than its factorization.

8073657016320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 8073657016320 in words is "eight trillion, seventy-three billion, six hundred fifty-seven million, sixteen thousand, three hundred twenty".