27079764480 has 480 divisors, whose sum is σ = 98449198848. Its totient is φ = 7133184000.

The previous prime is 27079764473. The next prime is 27079764511. The reversal of 27079764480 is 8446797072.

27079764480 is a `hidden beast` number, since 2 + 70 + 7 + 97 + 6 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62829865 + ... + 62830295.

Almost surely, 2^27079764480 is an apocalyptic number.

27079764480 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 27079764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49224599424).

27079764480 is an abundant number, since it is smaller than the sum of its proper divisors (71369434368).

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

27079764480 is an equidigital number, since it uses as much as digits as its factorization.

27079764480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 27079764480 in words is "twenty-seven billion, seventy-nine million, seven hundred sixty-four thousand, four hundred eighty".