73768059960 has 256 divisors, whose sum is σ = 257511260160. Its totient is φ = 16557058560.

The previous prime is 73768059923. The next prime is 73768059961. The reversal of 73768059960 is 6995086737.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 73768059894 and 73768059903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73768059961) 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, 15682969 + ... + 15687671.

It is an arithmetic number, because the mean of its divisors is an integer number (1005903360).

Almost surely, 2^73768059960 is an apocalyptic number.

73768059960 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 73768059960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128755630080).

73768059960 is an abundant number, since it is smaller than the sum of its proper divisors (183743200200).

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

73768059960 is a wasteful number, since it uses less digits than its factorization.

73768059960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5058 (or 5054 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 60.

The spelling of 73768059960 in words is "seventy-three billion, seven hundred sixty-eight million, fifty-nine thousand, nine hundred sixty".