45766356480 has 960 divisors, whose sum is σ = 184313828160. Its totient is φ = 10696458240.

The previous prime is 45766356437. The next prime is 45766356481. The reversal of 45766356480 is 8465366754.

45766356480 is a `hidden beast` number, since 4 + 5 + 76 + 6 + 3 + 564 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45766356481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 863516134 + ... + 863516186.

It is an arithmetic number, because the mean of its divisors is an integer number (191993571).

Almost surely, 2^45766356480 is an apocalyptic number.

45766356480 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 45766356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92156914080).

45766356480 is an abundant number, since it is smaller than the sum of its proper divisors (138547471680).

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

45766356480 is a wasteful number, since it uses less digits than its factorization.

45766356480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 45766356480 in words is "forty-five billion, seven hundred sixty-six million, three hundred fifty-six thousand, four hundred eighty".