7648697000 has 256 divisors, whose sum is σ = 21745152000. Its totient is φ = 2459808000.

The previous prime is 7648696997. The next prime is 7648697009. The reversal of 7648697000 is 7968467.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (7648697009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17422781 + ... + 17423219.

It is an arithmetic number, because the mean of its divisors is an integer number (84942000).

Almost surely, 2^7648697000 is an apocalyptic number.

7648697000 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 7648697000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10872576000).

7648697000 is an abundant number, since it is smaller than the sum of its proper divisors (14096455000).

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

7648697000 is a wasteful number, since it uses less digits than its factorization.

7648697000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 47.

The square root of 7648697000 is about 87456.8293502571. The cubic root of 7648697000 is about 1970.2854594199.

The spelling of 7648697000 in words is "seven billion, six hundred forty-eight million, six hundred ninety-seven thousand".