73957562016 has 384 divisors, whose sum is σ = 227598336000. Its totient is φ = 20832215040.

The previous prime is 73957561973. The next prime is 73957562089. The reversal of 73957562016 is 61026575937.

It is a self number, because there is not a number n which added to its sum of digits gives 73957562016.

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, 123468085 + ... + 123468683.

It is an arithmetic number, because the mean of its divisors is an integer number (592704000).

Almost surely, 2^73957562016 is an apocalyptic number.

73957562016 is a gapful number since it is divisible by the number (76) 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 73957562016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113799168000).

73957562016 is an abundant number, since it is smaller than the sum of its proper divisors (153640773984).

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

73957562016 is a wasteful number, since it uses less digits than its factorization.

73957562016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 51.

The spelling of 73957562016 in words is "seventy-three billion, nine hundred fifty-seven million, five hundred sixty-two thousand, sixteen".