45752734720 has 528 divisors, whose sum is σ = 142143024960. Its totient is φ = 13968998400.

The previous prime is 45752734681. The next prime is 45752734723. The reversal of 45752734720 is 2743725754.

It is a super-3 number, since 3×45752734720³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45752734723) 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 47 ways as a sum of consecutive naturals, for example, 162820980 + ... + 162821260.

Almost surely, 2^45752734720 is an apocalyptic number.

45752734720 is a gapful number since it is divisible by the number (40) 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 45752734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71071512480).

45752734720 is an abundant number, since it is smaller than the sum of its proper divisors (96390290240).

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

45752734720 is a wasteful number, since it uses less digits than its factorization.

45752734720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 46.

The spelling of 45752734720 in words is "forty-five billion, seven hundred fifty-two million, seven hundred thirty-four thousand, seven hundred twenty".