73710336960 has 1008 divisors, whose sum is σ = 292368061440. Its totient is φ = 17662095360.

The previous prime is 73710336949. The next prime is 73710336979. The reversal of 73710336960 is 6963301737.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 933042201 + ... + 933042279.

It is an arithmetic number, because the mean of its divisors is an integer number (290047680).

Almost surely, 2^73710336960 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 73710336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146184030720).

73710336960 is an abundant number, since it is smaller than the sum of its proper divisors (218657724480).

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

73710336960 is a wasteful number, since it uses less digits than its factorization.

73710336960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 45.

The spelling of 73710336960 in words is "seventy-three billion, seven hundred ten million, three hundred thirty-six thousand, nine hundred sixty".