240797678470272 has 720 divisors, whose sum is σ = 916279594509510. Its totient is φ = 62544835584000.

The previous prime is 240797678470253. The next prime is 240797678470273. The reversal of 240797678470272 is 272074876797042.

240797678470272 is a `hidden beast` number, since 2 + 4 + 0 + 7 + 97 + 67 + 8 + 470 + 2 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 240797647734336 + 30735936 = 15517656^2 + 5544^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 240797678470272.

It is not an unprimeable number, because it can be changed into a prime (240797678470273) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 59513272 + ... + 63430472.

Almost surely, 2^{240797678470272} is an apocalyptic number.

240797678470272 is a gapful number since it is divisible by the number (22) 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 240797678470272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458139797254755).

240797678470272 is an abundant number, since it is smaller than the sum of its proper divisors (675481916039238).

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

240797678470272 is a wasteful number, since it uses less digits than its factorization.

240797678470272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3917263 (or 3917224 counting only the distinct ones).

The product of its (nonzero) digits is 929359872, while the sum is 72.

The spelling of 240797678470272 in words is "two hundred forty trillion, seven hundred ninety-seven billion, six hundred seventy-eight million, four hundred seventy thousand, two hundred seventy-two".