73281559680 has 512 divisors, whose sum is σ = 306199756800. Its totient is φ = 16208916480.

The previous prime is 73281559669. The next prime is 73281559693. The reversal of 73281559680 is 8695518237.

73281559680 is a `hidden beast` number, since 7 + 3 + 2 + 8 + 1 + 559 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3739989 + ... + 3759531.

It is an arithmetic number, because the mean of its divisors is an integer number (598046400).

Almost surely, 2^73281559680 is an apocalyptic number.

73281559680 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 73281559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153099878400).

73281559680 is an abundant number, since it is smaller than the sum of its proper divisors (232918197120).

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

73281559680 is a wasteful number, since it uses less digits than its factorization.

73281559680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19609 (or 19591 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 73281559680 in words is "seventy-three billion, two hundred eighty-one million, five hundred fifty-nine thousand, six hundred eighty".