7168465920 has 1056 divisors, whose sum is σ = 31363315200. Its totient is φ = 1362493440.

The previous prime is 7168465919. The next prime is 7168465921. The reversal of 7168465920 is 295648617.

It is an interprime number because it is at equal distance from previous prime (7168465919) and next prime (7168465921).

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a self number, because there is not a number n which added to its sum of digits gives 7168465920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7168465921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 247188466 + ... + 247188494.

Almost surely, 2^7168465920 is an apocalyptic number.

7168465920 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 7168465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15681657600).

7168465920 is an abundant number, since it is smaller than the sum of its proper divisors (24194849280).

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

7168465920 is a wasteful number, since it uses less digits than its factorization.

7168465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 76 counting only the distinct ones).

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

The square root of 7168465920 is about 84666.7934907187. The cubic root of 7168465920 is about 1928.1555862343.

The spelling of 7168465920 in words is "seven billion, one hundred sixty-eight million, four hundred sixty-five thousand, nine hundred twenty".