27764640000 has 360 divisors, whose sum is σ = 102614277920. Its totient is φ = 7402752000.

The previous prime is 27764639999. The next prime is 27764640041. The reversal of 27764640000 is 4646772.

27764640000 is a `hidden beast` number, since 2 + 7 + 7 + 6 + 4 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4316787 + ... + 4323213.

Almost surely, 2^27764640000 is an apocalyptic number.

27764640000 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 27764640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51307138960).

27764640000 is an abundant number, since it is smaller than the sum of its proper divisors (74849637920).

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

27764640000 is an frugal number, since it uses more digits than its factorization.

27764640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6472 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 27764640000 in words is "twenty-seven billion, seven hundred sixty-four million, six hundred forty thousand".