240825916968 has 256 divisors, whose sum is σ = 760363968000. Its totient is φ = 63158538240.

The previous prime is 240825916951. The next prime is 240825916993. The reversal of 240825916968 is 869619528042.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19363680 + ... + 19376112.

It is an arithmetic number, because the mean of its divisors is an integer number (2970171750).

Almost surely, 2^240825916968 is an apocalyptic number.

240825916968 is a gapful number since it is divisible by the number (28) 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 240825916968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380181984000).

240825916968 is an abundant number, since it is smaller than the sum of its proper divisors (519538051032).

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

240825916968 is a wasteful number, since it uses less digits than its factorization.

240825916968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12657 (or 12639 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 240825916968 in words is "two hundred forty billion, eight hundred twenty-five million, nine hundred sixteen thousand, nine hundred sixty-eight".