7607490960 has 160 divisors (see below), whose sum is σ = 24500931840. Its totient is φ = 1951129600.

The previous prime is 7607490953. The next prime is 7607490967. The reversal of 7607490960 is 690947067.

It is an interprime number because it is at equal distance from previous prime (7607490953) and next prime (7607490967).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (7607490967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 693196 + ... + 704084.

It is an arithmetic number, because the mean of its divisors is an integer number (153130824).

Almost surely, 2^7607490960 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 7607490960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12250465920).

7607490960 is an abundant number, since it is smaller than the sum of its proper divisors (16893440880).

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

7607490960 is a wasteful number, since it uses less digits than its factorization.

7607490960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11017 (or 11011 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 7607490960 is about 87220.9318913757. The cubic root of 7607490960 is about 1966.7408951523.

The spelling of 7607490960 in words is "seven billion, six hundred seven million, four hundred ninety thousand, nine hundred sixty".