7163961600 has 216 divisors, whose sum is σ = 23999748640. Its totient is φ = 1881538560.

The previous prime is 7163961599. The next prime is 7163961601. The reversal of 7163961600 is 61693617.

It is an interprime number because it is at equal distance from previous prime (7163961599) and next prime (7163961601).

It is not an unprimeable number, because it can be changed into a prime (7163961601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1283616 + ... + 1289184.

Almost surely, 2^7163961600 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 7163961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11999874320).

7163961600 is an abundant number, since it is smaller than the sum of its proper divisors (16835787040).

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

7163961600 is a wasteful number, since it uses less digits than its factorization.

7163961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5665 (or 5646 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 7163961600 is about 84640.1890357057. The cubic root of 7163961600 is about 1927.7516481353.

The spelling of 7163961600 in words is "seven billion, one hundred sixty-three million, nine hundred sixty-one thousand, six hundred".