45730755840 has 576 divisors, whose sum is σ = 183204145152. Its totient is φ = 9444556800.

The previous prime is 45730755821. The next prime is 45730755881. The reversal of 45730755840 is 4855703754.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45730755840.

It is a congruent number.

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, 62388114 + ... + 62388846.

It is an arithmetic number, because the mean of its divisors is an integer number (318062752).

Almost surely, 2^45730755840 is an apocalyptic number.

45730755840 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 45730755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91602072576).

45730755840 is an abundant number, since it is smaller than the sum of its proper divisors (137473389312).

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

45730755840 is a wasteful number, since it uses less digits than its factorization.

45730755840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 48.

The spelling of 45730755840 in words is "forty-five billion, seven hundred thirty million, seven hundred fifty-five thousand, eight hundred forty".