27715198464 has 400 divisors, whose sum is σ = 92243091600. Its totient is φ = 8233353216.

The previous prime is 27715198439. The next prime is 27715198499. The reversal of 27715198464 is 46489151772.

27715198464 is a `hidden beast` number, since 27 + 7 + 151 + 9 + 8 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 27715198464.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 13394422 + ... + 13396490.

It is an arithmetic number, because the mean of its divisors is an integer number (230607729).

Almost surely, 2^27715198464 is an apocalyptic number.

27715198464 is a gapful number since it is divisible by the number (24) 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 27715198464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46121545800).

27715198464 is an abundant number, since it is smaller than the sum of its proper divisors (64527893136).

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

27715198464 is a wasteful number, since it uses less digits than its factorization.

27715198464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2110 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 27715198464 in words is "twenty-seven billion, seven hundred fifteen million, one hundred ninety-eight thousand, four hundred sixty-four".