7201166784 has 336 divisors, whose sum is σ = 23617171968. Its totient is φ = 1893298176.

The previous prime is 7201166783. The next prime is 7201166851. The reversal of 7201166784 is 4876611027.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7201166783) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25996854 + ... + 25997130.

Almost surely, 2^7201166784 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 7201166784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11808585984).

7201166784 is an abundant number, since it is smaller than the sum of its proper divisors (16416005184).

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

7201166784 is a wasteful number, since it uses less digits than its factorization.

7201166784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 7201166784 is about 84859.6888045201. The cubic root of 7201166784 is about 1931.0830707594.

The spelling of 7201166784 in words is "seven billion, two hundred one million, one hundred sixty-six thousand, seven hundred eighty-four".