73765464960 has 256 divisors, whose sum is σ = 257733861120. Its totient is φ = 17796710400.

The previous prime is 73765464959. The next prime is 73765464979. The reversal of 73765464960 is 6946456737.

It is a self number, because there is not a number n which added to its sum of digits gives 73765464960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4448044 + ... + 4464596.

It is an arithmetic number, because the mean of its divisors is an integer number (1006772895).

Almost surely, 2^73765464960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73765464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128866930560).

73765464960 is an abundant number, since it is smaller than the sum of its proper divisors (183968396160).

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

73765464960 is a wasteful number, since it uses less digits than its factorization.

73765464960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16797 (or 16785 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 57.

The spelling of 73765464960 in words is "seventy-three billion, seven hundred sixty-five million, four hundred sixty-four thousand, nine hundred sixty".