73685839968 has 240 divisors, whose sum is σ = 235173452976. Its totient is φ = 22498145280.

The previous prime is 73685839961. The next prime is 73685839999. The reversal of 73685839968 is 86993858637.

73685839968 is a `hidden beast` number, since 7 + 36 + 8 + 583 + 9 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 73685839896 and 73685839905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73685839961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4405830 + ... + 4422522.

Almost surely, 2^73685839968 is an apocalyptic number.

73685839968 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73685839968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117586726488).

73685839968 is an abundant number, since it is smaller than the sum of its proper divisors (161487613008).

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

73685839968 is a wasteful number, since it uses less digits than its factorization.

73685839968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16859 (or 16842 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 73685839968 in words is "seventy-three billion, six hundred eighty-five million, eight hundred thirty-nine thousand, nine hundred sixty-eight".