73831680000 has 1440 divisors, whose sum is σ = 314318604600. Its totient is φ = 16515072000.

The previous prime is 73831679953. The next prime is 73831680011. The reversal of 73831680000 is 8613837.

It can be written as a sum of positive squares in 20 ways, for example, as 31507670016 + 42324009984 = 177504^2 + 205728^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×73831680000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2545919986 + ... + 2545920014.

Almost surely, 2^73831680000 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 73831680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157159302300).

73831680000 is an abundant number, since it is smaller than the sum of its proper divisors (240486924600).

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

73831680000 is a wasteful number, since it uses less digits than its factorization.

73831680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 73831680000 in words is "seventy-three billion, eight hundred thirty-one million, six hundred eighty thousand".