45726517760 has 480 divisors, whose sum is σ = 143752942080. Its totient is φ = 13779763200.

The previous prime is 45726517687. The next prime is 45726517763. The reversal of 45726517760 is 6771562754.

It is a junction number, because it is equal to n+sod(n) for n = 45726517699 and 45726517708.

It is not an unprimeable number, because it can be changed into a prime (45726517763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42774506 + ... + 42775574.

It is an arithmetic number, because the mean of its divisors is an integer number (299485296).

Almost surely, 2^45726517760 is an apocalyptic number.

45726517760 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 45726517760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71876471040).

45726517760 is an abundant number, since it is smaller than the sum of its proper divisors (98026424320).

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

45726517760 is a wasteful number, since it uses less digits than its factorization.

45726517760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 50.

The spelling of 45726517760 in words is "forty-five billion, seven hundred twenty-six million, five hundred seventeen thousand, seven hundred sixty".