73817995680 has 1728 divisors, whose sum is σ = 332030409984. Its totient is φ = 15328051200.

The previous prime is 73817995649. The next prime is 73817995681. The reversal of 73817995680 is 8659971837.

It is not an unprimeable number, because it can be changed into a prime (73817995681) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1039690045 + ... + 1039690115.

It is an arithmetic number, because the mean of its divisors is an integer number (192147228).

Almost surely, 2^73817995680 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 73817995680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166015204992).

73817995680 is an abundant number, since it is smaller than the sum of its proper divisors (258212414304).

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

73817995680 is a wasteful number, since it uses less digits than its factorization.

73817995680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 73817995680 in words is "seventy-three billion, eight hundred seventeen million, nine hundred ninety-five thousand, six hundred eighty".