2427720325632 has 1080 divisors, whose sum is σ = 8685620307936. Its totient is φ = 677503346688.

The previous prime is 2427720325627. The next prime is 2427720325673. The reversal of 2427720325632 is 2365230277242.

2427720325632 is a `hidden beast` number, since 2 + 4 + 2 + 7 + 7 + 2 + 0 + 3 + 2 + 5 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 56458612203 + ... + 56458612245.

Almost surely, 2^{2427720325632} 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 2427720325632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4342810153968).

2427720325632 is an abundant number, since it is smaller than the sum of its proper divisors (6257899982304).

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

2427720325632 is an frugal number, since it uses more digits than its factorization.

2427720325632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

The spelling of 2427720325632 in words is "two trillion, four hundred twenty-seven billion, seven hundred twenty million, three hundred twenty-five thousand, six hundred thirty-two".