27832400640 has 648 divisors, whose sum is σ = 108651632544. Its totient is φ = 6569164800.

The previous prime is 27832400621. The next prime is 27832400641. The reversal of 27832400640 is 4600423872.

27832400640 is a `hidden beast` number, since 2 + 7 + 8 + 3 + 2 + 4 + 0 + 0 + 640 = 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 a junction number, because it is equal to n+sod(n) for n = 27832400595 and 27832400604.

It is not an unprimeable number, because it can be changed into a prime (27832400641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57150477 + ... + 57150963.

Almost surely, 2^27832400640 is an apocalyptic number.

27832400640 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 27832400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54325816272).

27832400640 is an abundant number, since it is smaller than the sum of its proper divisors (80819231904).

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

27832400640 is a wasteful number, since it uses less digits than its factorization.

27832400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 27832400640 in words is "twenty-seven billion, eight hundred thirty-two million, four hundred thousand, six hundred forty".