7640800000 has 108 divisors (see below), whose sum is σ = 19065467232. Its totient is φ = 3056000000.

The previous prime is 7640799983. The next prime is 7640800001. The reversal of 7640800000 is 80467.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (7640800001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 795225 + ... + 804775.

It is an arithmetic number, because the mean of its divisors is an integer number (176532104).

Almost surely, 2^7640800000 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 7640800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9532733616).

7640800000 is an abundant number, since it is smaller than the sum of its proper divisors (11424667232).

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

7640800000 is an frugal number, since it uses more digits than its factorization.

7640800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9592 (or 9558 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 7640800000 is about 87411.6697014764. The cubic root of 7640800000 is about 1969.6071433544.

Adding to 7640800000 its reverse (80467), we get a palindrome (7640880467).

The spelling of 7640800000 in words is "seven billion, six hundred forty million, eight hundred thousand".