240796692864 has 256 divisors, whose sum is σ = 874689984000. Its totient is φ = 63506737152.

The previous prime is 240796692791. The next prime is 240796692919. The reversal of 240796692864 is 468296697042.

240796692864 is a `hidden beast` number, since 2 + 407 + 9 + 66 + 92 + 86 + 4 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68334 + ... + 697325.

It is an arithmetic number, because the mean of its divisors is an integer number (3416757750).

Almost surely, 2^240796692864 is an apocalyptic number.

240796692864 is a gapful number since it is divisible by the number (24) 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 240796692864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437344992000).

240796692864 is an abundant number, since it is smaller than the sum of its proper divisors (633893291136).

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

240796692864 is a wasteful number, since it uses less digits than its factorization.

240796692864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765702 (or 765684 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 240796692864 in words is "two hundred forty billion, seven hundred ninety-six million, six hundred ninety-two thousand, eight hundred sixty-four".