7649600000 has 240 divisors, whose sum is σ = 21865225536. Its totient is φ = 2618880000.

The previous prime is 7649599981. The next prime is 7649600011. The reversal of 7649600000 is 69467.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 7649600000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11199659 + ... + 11200341.

Almost surely, 2^7649600000 is an apocalyptic number.

7649600000 is a gapful number since it is divisible by the number (70) 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 7649600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10932612768).

7649600000 is an abundant number, since it is smaller than the sum of its proper divisors (14215625536).

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

7649600000 is an frugal number, since it uses more digits than its factorization.

7649600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 7649600000 is about 87461.9917449860. The cubic root of 7649600000 is about 1970.3629932255.

Adding to 7649600000 its reverse (69467), we get a palindrome (7649669467).

The spelling of 7649600000 in words is "seven billion, six hundred forty-nine million, six hundred thousand".