240930764640 has 864 divisors, whose sum is σ = 930125851200. Its totient is φ = 56582406144.

The previous prime is 240930764617. The next prime is 240930764653. The reversal of 240930764640 is 46467039042.

It is a happy number.

240930764640 is a `hidden beast` number, since 240 + 9 + 307 + 64 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1210707261 + ... + 1210707459.

It is an arithmetic number, because the mean of its divisors is an integer number (1076534550).

Almost surely, 2^240930764640 is an apocalyptic number.

240930764640 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 240930764640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465062925600).

240930764640 is an abundant number, since it is smaller than the sum of its proper divisors (689195086560).

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

240930764640 is a wasteful number, since it uses less digits than its factorization.

240930764640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 240930764640 in words is "two hundred forty billion, nine hundred thirty million, seven hundred sixty-four thousand, six hundred forty".