7641653000 has 128 divisors (see below), whose sum is σ = 19246312800. Its totient is φ = 2829312000.

The previous prime is 7641652987. The next prime is 7641653027. The reversal of 7641653000 is 3561467.

It can be written as a sum of positive squares in 16 ways, for example, as 100120036 + 7541532964 = 10006^2 + 86842^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1033316 + ... + 1040684.

Almost surely, 2^7641653000 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 7641653000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9623156400).

7641653000 is an abundant number, since it is smaller than the sum of its proper divisors (11604659800).

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

7641653000 is a wasteful number, since it uses less digits than its factorization.

7641653000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7468 (or 7454 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 7641653000 is about 87416.5487765332. The cubic root of 7641653000 is about 1969.6804346493.

The spelling of 7641653000 in words is "seven billion, six hundred forty-one million, six hundred fifty-three thousand".