264960843840 has 1512 divisors, whose sum is σ = 1189542594240. Its totient is φ = 53917839360.

The previous prime is 264960843817. The next prime is 264960843857. The reversal of 264960843840 is 48348069462.

264960843840 is a `hidden beast` number, since 2 + 6 + 496 + 0 + 84 + 38 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1007455549 + ... + 1007455811.

It is an arithmetic number, because the mean of its divisors is an integer number (786734520).

Almost surely, 2^264960843840 is an apocalyptic number.

264960843840 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 264960843840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594771297120).

264960843840 is an abundant number, since it is smaller than the sum of its proper divisors (924581750400).

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

264960843840 is a wasteful number, since it uses less digits than its factorization.

264960843840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 264960843840 in words is "two hundred sixty-four billion, nine hundred sixty million, eight hundred forty-three thousand, eight hundred forty".