7688249706240 has 1944 divisors, whose sum is σ = 30619892918160. Its totient is φ = 1846373253120.

The previous prime is 7688249706173. The next prime is 7688249706283. The reversal of 7688249706240 is 426079428867.

7688249706240 is a `hidden beast` number, since 7 + 6 + 8 + 82 + 497 + 0 + 62 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a super-3 number, since 3×7688249706240³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 86384828116 + ... + 86384828204.

Almost surely, 2^{7688249706240} 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 7688249706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15309946459080).

7688249706240 is an abundant number, since it is smaller than the sum of its proper divisors (22931643211920).

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

7688249706240 is an equidigital number, since it uses as much as digits as its factorization.

7688249706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 147 counting only the distinct ones).

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

The spelling of 7688249706240 in words is "seven trillion, six hundred eighty-eight billion, two hundred forty-nine million, seven hundred six thousand, two hundred forty".