240764988672 has 216 divisors, whose sum is σ = 767792147304. Its totient is φ = 72078999552.

The previous prime is 240764988649. The next prime is 240764988679. The reversal of 240764988672 is 276889467042.

240764988672 is a `hidden beast` number, since 2 + 4 + 0 + 76 + 498 + 8 + 6 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 727704576 + 240037284096 = 26976^2 + 489936^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240764988679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 999598 + ... + 1216850.

Almost surely, 2^240764988672 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 240764988672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383896073652).

240764988672 is an abundant number, since it is smaller than the sum of its proper divisors (527027158632).

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

240764988672 is a wasteful number, since it uses less digits than its factorization.

240764988672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217325 (or 217308 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 240764988672 in words is "two hundred forty billion, seven hundred sixty-four million, nine hundred eighty-eight thousand, six hundred seventy-two".