73715552960 has 336 divisors, whose sum is σ = 208931438880. Its totient is φ = 24695193600.

The previous prime is 73715552959. The next prime is 73715553001. The reversal of 73715552960 is 6925551737.

It is a junction number, because it is equal to n+sod(n) for n = 73715552899 and 73715552908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140947259 + ... + 140947781.

Almost surely, 2^73715552960 is an apocalyptic number.

73715552960 is a gapful number since it is divisible by the number (70) 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 73715552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104465719440).

73715552960 is an abundant number, since it is smaller than the sum of its proper divisors (135215885920).

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

73715552960 is a wasteful number, since it uses less digits than its factorization.

73715552960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 1984500, while the sum is 50.

The spelling of 73715552960 in words is "seventy-three billion, seven hundred fifteen million, five hundred fifty-two thousand, nine hundred sixty".