45737804390400 has 672 divisors, whose sum is σ = 168188035276800. Its totient is φ = 12185557401600.

The previous prime is 45737804390347. The next prime is 45737804390423. The reversal of 45737804390400 is 409340873754.

45737804390400 is a `hidden beast` number, since 4 + 5 + 7 + 37 + 80 + 43 + 90 + 400 = 666.

It is a super-2 number, since 2×45737804390400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7293539265 + ... + 7293545535.

It is an arithmetic number, because the mean of its divisors is an integer number (250279814400).

Almost surely, 2^{45737804390400} is an apocalyptic number.

45737804390400 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 45737804390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84094017638400).

45737804390400 is an abundant number, since it is smaller than the sum of its proper divisors (122450230886400).

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

45737804390400 is a wasteful number, since it uses less digits than its factorization.

45737804390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7635 (or 7600 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 45737804390400 in words is "forty-five trillion, seven hundred thirty-seven billion, eight hundred four million, three hundred ninety thousand, four hundred".