27964894464 has 288 divisors, whose sum is σ = 94302311040. Its totient is φ = 8097988608.

The previous prime is 27964894459. The next prime is 27964894499. The reversal of 27964894464 is 46449846972.

27964894464 is a `hidden beast` number, since 2 + 7 + 96 + 4 + 89 + 4 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 1518399 + ... + 1536705.

It is an arithmetic number, because the mean of its divisors is an integer number (327438580).

Almost surely, 2^27964894464 is an apocalyptic number.

27964894464 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 27964894464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47151155520).

27964894464 is an abundant number, since it is smaller than the sum of its proper divisors (66337416576).

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

27964894464 is a wasteful number, since it uses less digits than its factorization.

27964894464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18362 (or 18342 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 27964894464 in words is "twenty-seven billion, nine hundred sixty-four million, eight hundred ninety-four thousand, four hundred sixty-four".