73975098960 has 320 divisors, whose sum is σ = 295197058560. Its totient is φ = 16676720640.

The previous prime is 73975098931. The next prime is 73975098961. The reversal of 73975098960 is 6989057937.

73975098960 is a `hidden beast` number, since 7 + 39 + 7 + 509 + 8 + 96 + 0 = 666.

It is a super-2 number, since 2×73975098960² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73975098961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1070250 + ... + 1137270.

It is an arithmetic number, because the mean of its divisors is an integer number (922490808).

Almost surely, 2^73975098960 is an apocalyptic number.

73975098960 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 73975098960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147598529280).

73975098960 is an abundant number, since it is smaller than the sum of its proper divisors (221221959600).

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

73975098960 is a wasteful number, since it uses less digits than its factorization.

73975098960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67123 (or 67111 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 73975098960 in words is "seventy-three billion, nine hundred seventy-five million, ninety-eight thousand, nine hundred sixty".