45360725760 has 360 divisors, whose sum is σ = 185498935776. Its totient is φ = 10368000000.

The previous prime is 45360725759. The next prime is 45360725777. The reversal of 45360725760 is 6752706354.

45360725760 is a `hidden beast` number, since 4 + 5 + 3 + 6 + 0 + 72 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 694510 + ... + 757010.

Almost surely, 2^45360725760 is an apocalyptic number.

45360725760 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 45360725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92749467888).

45360725760 is an abundant number, since it is smaller than the sum of its proper divisors (140138210016).

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

45360725760 is an equidigital number, since it uses as much as digits as its factorization.

45360725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62541 (or 62518 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

It can be divided in two parts, 45360 and 725760, that multiplied together give a square (32920473600 = 181440²).

The spelling of 45360725760 in words is "forty-five billion, three hundred sixty million, seven hundred twenty-five thousand, seven hundred sixty".