240072052856832 has 768 divisors, whose sum is σ = 819329570841600. Its totient is φ = 68037755535360.

The previous prime is 240072052856813. The next prime is 240072052856833. The reversal of 240072052856832 is 238658250270042.

240072052856832 is a `hidden beast` number, since 2 + 4 + 0 + 0 + 7 + 20 + 5 + 28 + 568 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240072052856833) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38953761783 + ... + 38953767945.

It is an arithmetic number, because the mean of its divisors is an integer number (1066835378700).

Almost surely, 2^{240072052856832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240072052856832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409664785420800).

240072052856832 is an abundant number, since it is smaller than the sum of its proper divisors (579257517984768).

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

240072052856832 is a wasteful number, since it uses less digits than its factorization.

240072052856832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6999 (or 6973 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 240072052856832 in words is "two hundred forty trillion, seventy-two billion, fifty-two million, eight hundred fifty-six thousand, eight hundred thirty-two".