45761324760 has 128 divisors (see below), whose sum is σ = 152674200000. Its totient is φ = 12192104448.

The previous prime is 45761324759. The next prime is 45761324773. The reversal of 45761324760 is 6742316754.

45761324760 is a `hidden beast` number, since 4 + 5 + 7 + 613 + 24 + 7 + 6 + 0 = 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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1226866 + ... + 1263614.

Almost surely, 2^45761324760 is an apocalyptic number.

45761324760 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 45761324760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76337100000).

45761324760 is an abundant number, since it is smaller than the sum of its proper divisors (106912875240).

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

45761324760 is a wasteful number, since it uses less digits than its factorization.

45761324760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37922 (or 37912 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 45761324760 in words is "forty-five billion, seven hundred sixty-one million, three hundred twenty-four thousand, seven hundred sixty".