45527620320 has 384 divisors, whose sum is σ = 196120673280. Its totient is φ = 9605744640.

The previous prime is 45527620309. The next prime is 45527620337. The reversal of 45527620320 is 2302672554.

45527620320 is a `hidden beast` number, since 4 + 5 + 5 + 2 + 7 + 620 + 3 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 335215 + ... + 451025.

It is an arithmetic number, because the mean of its divisors is an integer number (510730920).

Almost surely, 2^45527620320 is an apocalyptic number.

45527620320 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 45527620320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98060336640).

45527620320 is an abundant number, since it is smaller than the sum of its proper divisors (150593052960).

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

45527620320 is a wasteful number, since it uses less digits than its factorization.

45527620320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115855 (or 115841 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 45527620320 in words is "forty-five billion, five hundred twenty-seven million, six hundred twenty thousand, three hundred twenty".