45630673920 has 352 divisors, whose sum is σ = 174644144640. Its totient is φ = 11231723520.

The previous prime is 45630673903. The next prime is 45630673939. The reversal of 45630673920 is 2937603654.

45630673920 is a `hidden beast` number, since 4 + 5 + 630 + 6 + 7 + 3 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1784425 + ... + 1809815.

Almost surely, 2^45630673920 is an apocalyptic number.

45630673920 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 45630673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87322072320).

45630673920 is an abundant number, since it is smaller than the sum of its proper divisors (129013470720).

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

45630673920 is a wasteful number, since it uses less digits than its factorization.

45630673920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25438 (or 25414 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 45630673920 in words is "forty-five billion, six hundred thirty million, six hundred seventy-three thousand, nine hundred twenty".