73725464736 has 768 divisors, whose sum is σ = 280422051840. Its totient is φ = 18289152000.

The previous prime is 73725464677. The next prime is 73725464737. The reversal of 73725464736 is 63746452737.

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

It is not an unprimeable number, because it can be changed into a prime (73725464737) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 150153451 + ... + 150153941.

It is an arithmetic number, because the mean of its divisors is an integer number (365132880).

Almost surely, 2^73725464736 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 73725464736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140211025920).

73725464736 is an abundant number, since it is smaller than the sum of its proper divisors (206696587104).

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

73725464736 is a wasteful number, since it uses less digits than its factorization.

73725464736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 612 counting only the distinct ones).

The product of its digits is 17781120, while the sum is 54.

The spelling of 73725464736 in words is "seventy-three billion, seven hundred twenty-five million, four hundred sixty-four thousand, seven hundred thirty-six".