73368753384960 has 1920 divisors, whose sum is σ = 302620991016960. Its totient is φ = 16809762816000.

The previous prime is 73368753384851. The next prime is 73368753385063. The reversal of 73368753384960 is 6948335786337.

73368753384960 is a `hidden beast` number, since 7 + 3 + 3 + 6 + 8 + 7 + 533 + 84 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11148568870 + ... + 11148575450.

It is an arithmetic number, because the mean of its divisors is an integer number (157615099488).

Almost surely, 2^{73368753384960} 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 73368753384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151310495508480).

73368753384960 is an abundant number, since it is smaller than the sum of its proper divisors (229252237632000).

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

73368753384960 is a wasteful number, since it uses less digits than its factorization.

73368753384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6709 (or 6676 counting only the distinct ones).

The product of its (nonzero) digits is 1646023680, while the sum is 72.

The spelling of 73368753384960 in words is "seventy-three trillion, three hundred sixty-eight billion, seven hundred fifty-three million, three hundred eighty-four thousand, nine hundred sixty".