73889980416 has 504 divisors, whose sum is σ = 251876632644. Its totient is φ = 20808990720.

The previous prime is 73889980337. The next prime is 73889980513. The reversal of 73889980416 is 61408998837.

It can be written as a sum of positive squares in 2 ways, for example, as 45665980416 + 28224000000 = 213696^2 + 168000^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 408231846 + ... + 408232026.

Almost surely, 2^73889980416 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 73889980416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125938316322).

73889980416 is an abundant number, since it is smaller than the sum of its proper divisors (177986652228).

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

73889980416 is a wasteful number, since it uses less digits than its factorization.

73889980416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 73889980416 in words is "seventy-three billion, eight hundred eighty-nine million, nine hundred eighty thousand, four hundred sixteen".