7163865072 has 320 divisors, whose sum is σ = 25831680000. Its totient is φ = 1888862976.

The previous prime is 7163865043. The next prime is 7163865091. The reversal of 7163865072 is 2705683617.

7163865072 is a `hidden beast` number, since 7 + 1 + 63 + 86 + 507 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1924429 + ... + 1928147.

It is an arithmetic number, because the mean of its divisors is an integer number (80724000).

Almost surely, 2^7163865072 is an apocalyptic number.

7163865072 is a gapful number since it is divisible by the number (72) 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 7163865072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12915840000).

7163865072 is an abundant number, since it is smaller than the sum of its proper divisors (18667814928).

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

7163865072 is a wasteful number, since it uses less digits than its factorization.

7163865072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 7163865072 is about 84639.6188082153. The cubic root of 7163865072 is about 1927.7429898510.

The spelling of 7163865072 in words is "seven billion, one hundred sixty-three million, eight hundred sixty-five thousand, seventy-two".