45766276920 has 768 divisors, whose sum is σ = 192471552000. Its totient is φ = 9171283968.

The previous prime is 45766276901. The next prime is 45766276939. The reversal of 45766276920 is 2967266754.

45766276920 is a `hidden beast` number, since 4 + 5 + 7 + 6 + 627 + 6 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45766276901) and next prime (45766276939).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63652321 + ... + 63653039.

It is an arithmetic number, because the mean of its divisors is an integer number (250614000).

Almost surely, 2^45766276920 is an apocalyptic number.

45766276920 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 45766276920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96235776000).

45766276920 is an abundant number, since it is smaller than the sum of its proper divisors (146705275080).

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

45766276920 is a wasteful number, since it uses less digits than its factorization.

45766276920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 45766276920 in words is "forty-five billion, seven hundred sixty-six million, two hundred seventy-six thousand, nine hundred twenty".