274889972640 has 192 divisors, whose sum is σ = 889793493120. Its totient is φ = 71283732480.

The previous prime is 274889972611. The next prime is 274889972683. The reversal of 274889972640 is 46279988472.

It is a happy number.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47220930 + ... + 47226750.

It is an arithmetic number, because the mean of its divisors is an integer number (4634341110).

Almost surely, 2^274889972640 is an apocalyptic number.

274889972640 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 274889972640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444896746560).

274889972640 is an abundant number, since it is smaller than the sum of its proper divisors (614903520480).

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

274889972640 is a wasteful number, since it uses less digits than its factorization.

274889972640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8535 (or 8527 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 66.

The spelling of 274889972640 in words is "two hundred seventy-four billion, eight hundred eighty-nine million, nine hundred seventy-two thousand, six hundred forty".