274664762406 has 64 divisors (see below), whose sum is σ = 630917744640. Its totient is φ = 88480265760.

The previous prime is 274664762401. The next prime is 274664762417. The reversal of 274664762406 is 604267466472.

274664762406 is a `hidden beast` number, since 2 + 7 + 4 + 6 + 6 + 4 + 7 + 624 + 0 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274664762401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1115121 + ... + 1338963.

It is an arithmetic number, because the mean of its divisors is an integer number (9858089760).

Almost surely, 2^274664762406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274664762406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315458872320).

274664762406 is an abundant number, since it is smaller than the sum of its proper divisors (356252982234).

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

274664762406 is a wasteful number, since it uses less digits than its factorization.

274664762406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224618 (or 224612 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 274664762406 in words is "two hundred seventy-four billion, six hundred sixty-four million, seven hundred sixty-two thousand, four hundred six".