73998610560 has 1024 divisors, whose sum is σ = 314863718400. Its totient is φ = 16071229440.

The previous prime is 73998610541. The next prime is 73998610571. The reversal of 73998610560 is 6501689937.

73998610560 is a `hidden beast` number, since 73 + 9 + 9 + 8 + 6 + 1 + 0 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 73998610497 and 73998610506.

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 127 ways as a sum of consecutive naturals, for example, 213252307 + ... + 213252653.

It is an arithmetic number, because the mean of its divisors is an integer number (307484100).

Almost surely, 2^73998610560 is an apocalyptic number.

73998610560 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 73998610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157431859200).

73998610560 is an abundant number, since it is smaller than the sum of its proper divisors (240865107840).

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

73998610560 is a wasteful number, since it uses less digits than its factorization.

73998610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 73998610560 in words is "seventy-three billion, nine hundred ninety-eight million, six hundred ten thousand, five hundred sixty".