45232320672 has 480 divisors, whose sum is σ = 167311799424. Its totient is φ = 11742382080.

The previous prime is 45232320649. The next prime is 45232320709. The reversal of 45232320672 is 27602323254.

45232320672 is a `hidden beast` number, since 45 + 232 + 320 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24148728 + ... + 24150600.

Almost surely, 2^45232320672 is an apocalyptic number.

45232320672 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 45232320672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83655899712).

45232320672 is an abundant number, since it is smaller than the sum of its proper divisors (122079478752).

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

45232320672 is a wasteful number, since it uses less digits than its factorization.

45232320672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 45232320672 in words is "forty-five billion, two hundred thirty-two million, three hundred twenty thousand, six hundred seventy-two".