45375828760 has 64 divisors (see below), whose sum is σ = 107070336000. Its totient is φ = 17273874816.

The previous prime is 45375828739. The next prime is 45375828761. The reversal of 45375828760 is 6782857354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45375828761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59157 + ... + 307003.

It is an arithmetic number, because the mean of its divisors is an integer number (1672974000).

Almost surely, 2^45375828760 is an apocalyptic number.

45375828760 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 45375828760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53535168000).

45375828760 is an abundant number, since it is smaller than the sum of its proper divisors (61694507240).

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

45375828760 is a wasteful number, since it uses less digits than its factorization.

45375828760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248080 (or 248076 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 55.

The spelling of 45375828760 in words is "forty-five billion, three hundred seventy-five million, eight hundred twenty-eight thousand, seven hundred sixty".