73345374720 has 320 divisors, whose sum is σ = 274245840000. Its totient is φ = 18529026048.

The previous prime is 73345374703. The next prime is 73345374731. The reversal of 73345374720 is 2747354337.

73345374720 is a `hidden beast` number, since 73 + 3 + 4 + 537 + 47 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

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, 1285356 + ... + 1341204.

It is an arithmetic number, because the mean of its divisors is an integer number (857018250).

Almost surely, 2^73345374720 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 73345374720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137122920000).

73345374720 is an abundant number, since it is smaller than the sum of its proper divisors (200900465280).

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

73345374720 is a wasteful number, since it uses less digits than its factorization.

73345374720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55900 (or 55878 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 45.

The spelling of 73345374720 in words is "seventy-three billion, three hundred forty-five million, three hundred seventy-four thousand, seven hundred twenty".