7649135208 has 640 divisors, whose sum is σ = 27252529920. Its totient is φ = 1970749440.

The previous prime is 7649135203. The next prime is 7649135209. The reversal of 7649135208 is 8025319467.

7649135208 is a `hidden beast` number, since 76 + 49 + 13 + 520 + 8 = 666.

7649135208 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

7649135208 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (7649135203) 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 159 ways as a sum of consecutive naturals, for example, 78857016 + ... + 78857112.

It is an arithmetic number, because the mean of its divisors is an integer number (42582078).

It is a 1-persistent number, because it is pandigital, but 2⋅7649135208 = 15298270416 is not.

Almost surely, 2^7649135208 is an apocalyptic number.

7649135208 is a gapful number since it is divisible by the number (78) 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 7649135208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13626264960).

7649135208 is an abundant number, since it is smaller than the sum of its proper divisors (19603394712).

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

7649135208 is a wasteful number, since it uses less digits than its factorization.

7649135208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7649135208 is about 87459.3345961425. The cubic root of 7649135208 is about 1970.3230858009.

The spelling of 7649135208 in words is "seven billion, six hundred forty-nine million, one hundred thirty-five thousand, two hundred eight".