73988134080 has 504 divisors, whose sum is σ = 288470906928. Its totient is φ = 16017813504.

The previous prime is 73988134067. The next prime is 73988134081. The reversal of 73988134080 is 8043188937.

It is not an unprimeable number, because it can be changed into a prime (73988134081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16979262 + ... + 16983618.

Almost surely, 2^73988134080 is an apocalyptic number.

73988134080 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 73988134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144235453464).

73988134080 is an abundant number, since it is smaller than the sum of its proper divisors (214482772848).

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

73988134080 is a wasteful number, since it uses less digits than its factorization.

73988134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4429 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 73988134080 in words is "seventy-three billion, nine hundred eighty-eight million, one hundred thirty-four thousand, eighty".