274491029664 has 360 divisors, whose sum is σ = 839321572320. Its totient is φ = 87998296320.

The previous prime is 274491029641. The next prime is 274491029689. The reversal of 274491029664 is 466920194472.

274491029664 is a `hidden beast` number, since 2 + 7 + 4 + 491 + 0 + 2 + 96 + 64 = 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 274491029664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 655109647 + ... + 655110065.

It is an arithmetic number, because the mean of its divisors is an integer number (2331448812).

Almost surely, 2^274491029664 is an apocalyptic number.

274491029664 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 274491029664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419660786160).

274491029664 is an abundant number, since it is smaller than the sum of its proper divisors (564830542656).

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

274491029664 is a wasteful number, since it uses less digits than its factorization.

274491029664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 274491029664 in words is "two hundred seventy-four billion, four hundred ninety-one million, twenty-nine thousand, six hundred sixty-four".