73461312288 has 1152 divisors, whose sum is σ = 290096432640. Its totient is φ = 17597399040.

The previous prime is 73461312259. The next prime is 73461312371. The reversal of 73461312288 is 88221316437.

73461312288 is a `hidden beast` number, since 7 + 3 + 4 + 613 + 1 + 2 + 28 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1204283778 + ... + 1204283838.

It is an arithmetic number, because the mean of its divisors is an integer number (251819820).

Almost surely, 2^73461312288 is an apocalyptic number.

73461312288 is a gapful number since it is divisible by the number (78) 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 73461312288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145048216320).

73461312288 is an abundant number, since it is smaller than the sum of its proper divisors (216635120352).

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

73461312288 is a wasteful number, since it uses less digits than its factorization.

73461312288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 156 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 73461312288 in words is "seventy-three billion, four hundred sixty-one million, three hundred twelve thousand, two hundred eighty-eight".