45771079680 has 180 divisors, whose sum is σ = 158670789732. Its totient is φ = 12205424640.

The previous prime is 45771079663. The next prime is 45771079691. The reversal of 45771079680 is 8697017754.

45771079680 is a `hidden beast` number, since 4 + 577 + 1 + 0 + 7 + 9 + 68 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7267221504 + 38503858176 = 85248^2 + 196224^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 706240 + ... + 768320.

Almost surely, 2^45771079680 is an apocalyptic number.

45771079680 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 45771079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79335394866).

45771079680 is an abundant number, since it is smaller than the sum of its proper divisors (112899710052).

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

45771079680 is an equidigital number, since it uses as much as digits as its factorization.

45771079680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62120 (or 62091 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 45771079680 in words is "forty-five billion, seven hundred seventy-one million, seventy-nine thousand, six hundred eighty".