7649095680 has 624 divisors, whose sum is σ = 28980413280. Its totient is φ = 1932263424.

The previous prime is 7649095679. The next prime is 7649095681. The reversal of 7649095680 is 865909467.

7649095680 is a `hidden beast` number, since 7 + 6 + 490 + 95 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7649095679) and next prime (7649095681).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7649095681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144322534 + ... + 144322586.

It is an arithmetic number, because the mean of its divisors is an integer number (46442970).

Almost surely, 2^7649095680 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 7649095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14490206640).

7649095680 is an abundant number, since it is smaller than the sum of its proper divisors (21331317600).

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

7649095680 is an equidigital number, since it uses as much as digits as its factorization.

7649095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 7649095680 is about 87459.1086165415. The cubic root of 7649095680 is about 1970.3196918196.

The spelling of 7649095680 in words is "seven billion, six hundred forty-nine million, ninety-five thousand, six hundred eighty".