73071694080 has 1296 divisors, whose sum is σ = 330207905664. Its totient is φ = 15049359360.

The previous prime is 73071694061. The next prime is 73071694109. The reversal of 73071694080 is 8049617037.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×73071694080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 646652104 + ... + 646652216.

Almost surely, 2^73071694080 is an apocalyptic number.

73071694080 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 73071694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165103952832).

73071694080 is an abundant number, since it is smaller than the sum of its proper divisors (257136211584).

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

73071694080 is an equidigital number, since it uses as much as digits as its factorization.

73071694080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 73071694080 in words is "seventy-three billion, seventy-one million, six hundred ninety-four thousand, eighty".