7649560000 has 210 divisors, whose sum is σ = 19698538200. Its totient is φ = 2946240000.

The previous prime is 7649559997. The next prime is 7649560001. The reversal of 7649560000 is 659467.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7649560001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 38439901 + ... + 38440099.

Almost surely, 2^7649560000 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 7649560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9849269100).

7649560000 is an abundant number, since it is smaller than the sum of its proper divisors (12048978200).

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

7649560000 is an equidigital number, since it uses as much as digits as its factorization.

7649560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 7649560000 is about 87461.7630739285. The cubic root of 7649560000 is about 1970.3595588561.

The spelling of 7649560000 in words is "seven billion, six hundred forty-nine million, five hundred sixty thousand".