73256494080 has 704 divisors, whose sum is σ = 304936316928. Its totient is φ = 14554890240.

The previous prime is 73256494067. The next prime is 73256494109. The reversal of 73256494080 is 8049465237.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 27201214 + ... + 27203906.

Almost surely, 2^73256494080 is an apocalyptic number.

73256494080 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 73256494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152468158464).

73256494080 is an abundant number, since it is smaller than the sum of its proper divisors (231679822848).

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

73256494080 is a wasteful number, since it uses less digits than its factorization.

73256494080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 73256494080 in words is "seventy-three billion, two hundred fifty-six million, four hundred ninety-four thousand, eighty".