73146758160 has 320 divisors, whose sum is σ = 276250176000. Its totient is φ = 15629254656.

The previous prime is 73146758147. The next prime is 73146758183. The reversal of 73146758160 is 6185764137.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4246846 + ... + 4264034.

It is an arithmetic number, because the mean of its divisors is an integer number (863281800).

Almost surely, 2^73146758160 is an apocalyptic number.

73146758160 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 73146758160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138125088000).

73146758160 is an abundant number, since it is smaller than the sum of its proper divisors (203103417840).

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

73146758160 is a wasteful number, since it uses less digits than its factorization.

73146758160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17378 (or 17372 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 73146758160 in words is "seventy-three billion, one hundred forty-six million, seven hundred fifty-eight thousand, one hundred sixty".