27575408640 has 384 divisors, whose sum is σ = 98323243200. Its totient is φ = 6550978560.

The previous prime is 27575408629. The next prime is 27575408677. The reversal of 27575408640 is 4680457572.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 27575408640.

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, 11580250 + ... + 11582630.

Almost surely, 2^27575408640 is an apocalyptic number.

27575408640 is a gapful number since it is divisible by the number (20) 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 27575408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49161621600).

27575408640 is an abundant number, since it is smaller than the sum of its proper divisors (70747834560).

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

27575408640 is a wasteful number, since it uses less digits than its factorization.

27575408640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The spelling of 27575408640 in words is "twenty-seven billion, five hundred seventy-five million, four hundred eight thousand, six hundred forty".