7644867120 has 180 divisors, whose sum is σ = 28220516688. Its totient is φ = 1853280000.

The previous prime is 7644867119. The next prime is 7644867143. The reversal of 7644867120 is 217684467.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43245 + ... + 130995.

Almost surely, 2^7644867120 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 7644867120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14110258344).

7644867120 is an abundant number, since it is smaller than the sum of its proper divisors (20575649568).

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

7644867120 is a wasteful number, since it uses less digits than its factorization.

7644867120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87792 (or 87772 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 7644867120 is about 87434.9307771213. The cubic root of 7644867120 is about 1969.9565486392.

The spelling of 7644867120 in words is "seven billion, six hundred forty-four million, eight hundred sixty-seven thousand, one hundred twenty".