270026979264 has 224 divisors, whose sum is σ = 908299123200. Its totient is φ = 77059952640.

The previous prime is 270026979259. The next prime is 270026979311. The reversal of 270026979264 is 462979620072.

270026979264 is a `hidden beast` number, since 270 + 0 + 26 + 97 + 9 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 270026979264.

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, 10643907 + ... + 10669245.

It is an arithmetic number, because the mean of its divisors is an integer number (4054906800).

Almost surely, 2^270026979264 is an apocalyptic number.

270026979264 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 270026979264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454149561600).

270026979264 is an abundant number, since it is smaller than the sum of its proper divisors (638272143936).

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

270026979264 is a wasteful number, since it uses less digits than its factorization.

270026979264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26248 (or 26232 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 270026979264 in words is "two hundred seventy billion, twenty-six million, nine hundred seventy-nine thousand, two hundred sixty-four".