240877263680 has 224 divisors, whose sum is σ = 614483871360. Its totient is φ = 89669099520.

The previous prime is 240877263637. The next prime is 240877263709. The reversal of 240877263680 is 86362778042.

It is a happy number.

240877263680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220381214 + ... + 220382306.

Almost surely, 2^240877263680 is an apocalyptic number.

240877263680 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 240877263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307241935680).

240877263680 is an abundant number, since it is smaller than the sum of its proper divisors (373606607680).

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

240877263680 is a wasteful number, since it uses less digits than its factorization.

240877263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 53.

The spelling of 240877263680 in words is "two hundred forty billion, eight hundred seventy-seven million, two hundred sixty-three thousand, six hundred eighty".