45577987740 has 288 divisors, whose sum is σ = 152580422400. Its totient is φ = 11263847040.

The previous prime is 45577987703. The next prime is 45577987813. The reversal of 45577987740 is 4778977554.

45577987740 is a `hidden beast` number, since 4 + 557 + 7 + 9 + 8 + 7 + 74 + 0 = 666.

45577987740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22663335 + ... + 22665345.

Almost surely, 2^45577987740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45577987740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76290211200).

45577987740 is an abundant number, since it is smaller than the sum of its proper divisors (107002434660).

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

45577987740 is a wasteful number, since it uses less digits than its factorization.

45577987740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 69148800, while the sum is 63.

The spelling of 45577987740 in words is "forty-five billion, five hundred seventy-seven million, nine hundred eighty-seven thousand, seven hundred forty".