73945967800320 has 2808 divisors, whose sum is σ = 338091619411728. Its totient is φ = 15350346547200.

The previous prime is 73945967800267. The next prime is 73945967800351. The reversal of 73945967800320 is 2300876954937.

73945967800320 is a `hidden beast` number, since 7 + 3 + 9 + 4 + 596 + 7 + 8 + 0 + 0 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 72425041410 + ... + 72425042430.

It is an arithmetic number, because the mean of its divisors is an integer number (120402998366).

Almost surely, 2^{73945967800320} is an apocalyptic number.

73945967800320 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 73945967800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169045809705864).

73945967800320 is an abundant number, since it is smaller than the sum of its proper divisors (264145651611408).

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

73945967800320 is an equidigital number, since it uses as much as digits as its factorization.

73945967800320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 73945967800320 in words is "seventy-three trillion, nine hundred forty-five billion, nine hundred sixty-seven million, eight hundred thousand, three hundred twenty".