73751916000 has 384 divisors, whose sum is σ = 292375609344. Its totient is φ = 15865651200.

The previous prime is 73751915981. The next prime is 73751916013. The reversal of 73751916000 is 61915737.

It is a super-2 number, since 2×73751916000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 73751916000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1402177 + ... + 1453823.

It is an arithmetic number, because the mean of its divisors is an integer number (761394816).

Almost surely, 2^73751916000 is an apocalyptic number.

73751916000 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 73751916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146187804672).

73751916000 is an abundant number, since it is smaller than the sum of its proper divisors (218623693344).

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

73751916000 is a wasteful number, since it uses less digits than its factorization.

73751916000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51699 (or 51681 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 39.

The spelling of 73751916000 in words is "seventy-three billion, seven hundred fifty-one million, nine hundred sixteen thousand".