7649686656 has 576 divisors, whose sum is σ = 25988114880. Its totient is φ = 2233516032.

The previous prime is 7649686651. The next prime is 7649686661. The reversal of 7649686656 is 6566869467.

7649686656 is a `hidden beast` number, since 7 + 6 + 496 + 86 + 65 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (7649686651) and next prime (7649686661).

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 7649686593 and 7649686602.

It is not an unprimeable number, because it can be changed into a prime (7649686651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 206748270 + ... + 206748306.

It is an arithmetic number, because the mean of its divisors is an integer number (45118255).

Almost surely, 2^7649686656 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 7649686656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12994057440).

7649686656 is an abundant number, since it is smaller than the sum of its proper divisors (18338428224).

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

7649686656 is a wasteful number, since it uses less digits than its factorization.

7649686656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 82 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The square root of 7649686656 is about 87462.4871359144. The cubic root of 7649686656 is about 1970.3704334024.

The spelling of 7649686656 in words is "seven billion, six hundred forty-nine million, six hundred eighty-six thousand, six hundred fifty-six".