73982931456 has 480 divisors, whose sum is σ = 243349996032. Its totient is φ = 19880017920.

The previous prime is 73982931433. The next prime is 73982931527. The reversal of 73982931456 is 65413928937.

Its product of digits (9797760) is a multiple of the sum of its prime factors (960).

It is a junction number, because it is equal to n+sod(n) for n = 73982931396 and 73982931405.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86327380 + ... + 86328236.

Almost surely, 2^73982931456 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 73982931456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121674998016).

73982931456 is an abundant number, since it is smaller than the sum of its proper divisors (169367064576).

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

73982931456 is a wasteful number, since it uses less digits than its factorization.

73982931456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 937 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 57.

The spelling of 73982931456 in words is "seventy-three billion, nine hundred eighty-two million, nine hundred thirty-one thousand, four hundred fifty-six".