73617683328 has 640 divisors, whose sum is σ = 265876300800. Its totient is φ = 19752284160.

The previous prime is 73617683281. The next prime is 73617683339. The reversal of 73617683328 is 82338671637.

73617683328 is a `hidden beast` number, since 73 + 6 + 176 + 83 + 328 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 271651833 + ... + 271652103.

It is an arithmetic number, because the mean of its divisors is an integer number (415431720).

Almost surely, 2^73617683328 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 73617683328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132938150400).

73617683328 is an abundant number, since it is smaller than the sum of its proper divisors (192258617472).

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

73617683328 is a wasteful number, since it uses less digits than its factorization.

73617683328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 499 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 73617683328 in words is "seventy-three billion, six hundred seventeen million, six hundred eighty-three thousand, three hundred twenty-eight".