27632005632 has 800 divisors, whose sum is σ = 109087482240. Its totient is φ = 6741688320.

The previous prime is 27632005613. The next prime is 27632005693. The reversal of 27632005632 is 23650023672.

It is a happy number.

27632005632 is a `hidden beast` number, since 2 + 76 + 3 + 20 + 0 + 563 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54286594 + ... + 54287102.

Almost surely, 2^27632005632 is an apocalyptic number.

27632005632 is a gapful number since it is divisible by the number (22) 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 27632005632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54543741120).

27632005632 is an abundant number, since it is smaller than the sum of its proper divisors (81455476608).

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

27632005632 is a wasteful number, since it uses less digits than its factorization.

27632005632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 27632005632 in words is "twenty-seven billion, six hundred thirty-two million, five thousand, six hundred thirty-two".