7625940168 has 576 divisors, whose sum is σ = 27019422720. Its totient is φ = 1769644800.

The previous prime is 7625940163. The next prime is 7625940173. The reversal of 7625940168 is 8610495267.

It is an interprime number because it is at equal distance from previous prime (7625940163) and next prime (7625940173).

It is not an unprimeable number, because it can be changed into a prime (7625940163) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 107407573 + ... + 107407643.

It is an arithmetic number, because the mean of its divisors is an integer number (46908720).

Almost surely, 2^7625940168 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 7625940168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13509711360).

7625940168 is an abundant number, since it is smaller than the sum of its proper divisors (19393482552).

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

7625940168 is a wasteful number, since it uses less digits than its factorization.

7625940168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 7625940168 is about 87326.6292032390. The cubic root of 7625940168 is about 1968.3294837168.

The spelling of 7625940168 in words is "seven billion, six hundred twenty-five million, nine hundred forty thousand, one hundred sixty-eight".