27903752640 has 896 divisors, whose sum is σ = 109435392000. Its totient is φ = 6667702272.

The previous prime is 27903752629. The next prime is 27903752663. The reversal of 27903752640 is 4625730972.

27903752640 is a `hidden beast` number, since 2 + 7 + 90 + 37 + 526 + 4 + 0 = 666.

It is a super-2 number, since 2×27903752640² (a number of 22 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 416473887 + ... + 416473953.

Almost surely, 2^27903752640 is an apocalyptic number.

27903752640 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 27903752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54717696000).

27903752640 is an abundant number, since it is smaller than the sum of its proper divisors (81531639360).

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

27903752640 is a wasteful number, since it uses less digits than its factorization.

27903752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 27903752640 in words is "twenty-seven billion, nine hundred three million, seven hundred fifty-two thousand, six hundred forty".