45642627072 has 288 divisors, whose sum is σ = 159526130400. Its totient is φ = 12273057792.

The previous prime is 45642627047. The next prime is 45642627073. The reversal of 45642627072 is 27072624654.

It is a happy number.

45642627072 is a `hidden beast` number, since 456 + 4 + 2 + 62 + 70 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45642627073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2183004 + ... + 2203812.

It is an arithmetic number, because the mean of its divisors is an integer number (553910175).

Almost surely, 2^45642627072 is an apocalyptic number.

45642627072 is a gapful number since it is divisible by the number (42) 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 45642627072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79763065200).

45642627072 is an abundant number, since it is smaller than the sum of its proper divisors (113883503328).

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

45642627072 is a wasteful number, since it uses less digits than its factorization.

45642627072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20861 (or 20838 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 45642627072 in words is "forty-five billion, six hundred forty-two million, six hundred twenty-seven thousand, seventy-two".