73960483968 has 768 divisors, whose sum is σ = 280802246400. Its totient is φ = 19006783488.

The previous prime is 73960483967. The next prime is 73960483973. The reversal of 73960483968 is 86938406937.

73960483968 is a `hidden beast` number, since 7 + 3 + 9 + 60 + 483 + 96 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (73960483967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66212946 + ... + 66214062.

It is an arithmetic number, because the mean of its divisors is an integer number (365627925).

Almost surely, 2^73960483968 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 73960483968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140401123200).

73960483968 is an abundant number, since it is smaller than the sum of its proper divisors (206841762432).

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

73960483968 is a wasteful number, since it uses less digits than its factorization.

73960483968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 73960483968 in words is "seventy-three billion, nine hundred sixty million, four hundred eighty-three thousand, nine hundred sixty-eight".