7653295968 has 96 divisors (see below), whose sum is σ = 20281798656. Its totient is φ = 2526847488.

The previous prime is 7653295963. The next prime is 7653295973. The reversal of 7653295968 is 8695923567.

It is an interprime number because it is at equal distance from previous prime (7653295963) and next prime (7653295973).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7653295963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5992546 + ... + 5993822.

It is an arithmetic number, because the mean of its divisors is an integer number (211268736).

Almost surely, 2^7653295968 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 7653295968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10140899328).

7653295968 is an abundant number, since it is smaller than the sum of its proper divisors (12628502688).

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

7653295968 is a wasteful number, since it uses less digits than its factorization.

7653295968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 1828 counting only the distinct ones).

The product of its digits is 24494400, while the sum is 60.

The square root of 7653295968 is about 87483.1181885968. The cubic root of 7653295968 is about 1970.6802745664.

The spelling of 7653295968 in words is "seven billion, six hundred fifty-three million, two hundred ninety-five thousand, nine hundred sixty-eight".