27832796640 has 384 divisors, whose sum is σ = 106686720000. Its totient is φ = 6720952320.

The previous prime is 27832796611. The next prime is 27832796647. The reversal of 27832796640 is 4669723872.

27832796640 is a `hidden beast` number, since 278 + 3 + 279 + 66 + 40 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27832796647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13922361 + ... + 13924359.

It is an arithmetic number, because the mean of its divisors is an integer number (277830000).

Almost surely, 2^27832796640 is an apocalyptic number.

27832796640 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 27832796640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53343360000).

27832796640 is an abundant number, since it is smaller than the sum of its proper divisors (78853923360).

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

27832796640 is a wasteful number, since it uses less digits than its factorization.

27832796640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 27832796640 in words is "twenty-seven billion, eight hundred thirty-two million, seven hundred ninety-six thousand, six hundred forty".