73682766080 has 864 divisors, whose sum is σ = 241404576000. Its totient is φ = 21459271680.

The previous prime is 73682766077. The next prime is 73682766089. The reversal of 73682766080 is 8066728637.

It is not an unprimeable number, because it can be changed into a prime (73682766089) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1009352924 + ... + 1009352996.

Almost surely, 2^73682766080 is an apocalyptic number.

73682766080 is a gapful number since it is divisible by the number (70) 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 73682766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120702288000).

73682766080 is an abundant number, since it is smaller than the sum of its proper divisors (167721809920).

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

73682766080 is a wasteful number, since it uses less digits than its factorization.

73682766080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 53.

The spelling of 73682766080 in words is "seventy-three billion, six hundred eighty-two million, seven hundred sixty-six thousand, eighty".