45764951040 has 528 divisors, whose sum is σ = 171289684800. Its totient is φ = 11263279104.

The previous prime is 45764951009. The next prime is 45764951059. The reversal of 45764951040 is 4015946754.

45764951040 is a `hidden beast` number, since 4 + 57 + 6 + 49 + 510 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30734616 + ... + 30736104.

Almost surely, 2^45764951040 is an apocalyptic number.

45764951040 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 45764951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85644842400).

45764951040 is an abundant number, since it is smaller than the sum of its proper divisors (125524733760).

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

45764951040 is a wasteful number, since it uses less digits than its factorization.

45764951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 45764951040 in words is "forty-five billion, seven hundred sixty-four million, nine hundred fifty-one thousand, forty".