275966792640 has 840 divisors, whose sum is σ = 1245809082672. Its totient is φ = 57340846080.

The previous prime is 275966792639. The next prime is 275966792653. The reversal of 275966792640 is 46297669572.

275966792640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13961004 + ... + 13980756.

Almost surely, 2^275966792640 is an apocalyptic number.

275966792640 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 275966792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622904541336).

275966792640 is an abundant number, since it is smaller than the sum of its proper divisors (969842290032).

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

275966792640 is a wasteful number, since it uses less digits than its factorization.

275966792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19807 (or 19781 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 275966792640 in words is "two hundred seventy-five billion, nine hundred sixty-six million, seven hundred ninety-two thousand, six hundred forty".