73797708800 has 264 divisors, whose sum is σ = 188467290000. Its totient is φ = 28638904320.

The previous prime is 73797708769. The next prime is 73797708863. The reversal of 73797708800 is 880779737.

It is a super-2 number, since 2×73797708800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147890951 + ... + 147891449.

It is an arithmetic number, because the mean of its divisors is an integer number (713891250).

Almost surely, 2^73797708800 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 73797708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94233645000).

73797708800 is an abundant number, since it is smaller than the sum of its proper divisors (114669581200).

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

73797708800 is a wasteful number, since it uses less digits than its factorization.

73797708800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 56.

The spelling of 73797708800 in words is "seventy-three billion, seven hundred ninety-seven million, seven hundred eight thousand, eight hundred".