45939690720 has 576 divisors, whose sum is σ = 196219086336. Its totient is φ = 9508515840.

The previous prime is 45939690707. The next prime is 45939690737. The reversal of 45939690720 is 2709693954.

45939690720 is a `hidden beast` number, since 459 + 39 + 6 + 90 + 72 + 0 = 666.

It is a super-2 number, since 2×45939690720² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35148307 + ... + 35149613.

It is an arithmetic number, because the mean of its divisors is an integer number (340658136).

Almost surely, 2^45939690720 is an apocalyptic number.

45939690720 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 45939690720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98109543168).

45939690720 is an abundant number, since it is smaller than the sum of its proper divisors (150279395616).

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

45939690720 is a wasteful number, since it uses less digits than its factorization.

45939690720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 45939690720 in words is "forty-five billion, nine hundred thirty-nine million, six hundred ninety thousand, seven hundred twenty".