7544612160 has 280 divisors, whose sum is σ = 27765710280. Its totient is φ = 1942327296.

The previous prime is 7544612149. The next prime is 7544612177. The reversal of 7544612160 is 612164457.

It can be written as a sum of positive squares in 4 ways, for example, as 460359936 + 7084252224 = 21456^2 + 84168^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 746662 + ... + 756698.

It is an arithmetic number, because the mean of its divisors is an integer number (99163251).

Almost surely, 2^7544612160 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 7544612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13882855140).

7544612160 is an abundant number, since it is smaller than the sum of its proper divisors (20221098120).

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

7544612160 is a wasteful number, since it uses less digits than its factorization.

7544612160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10095 (or 10076 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7544612160 is about 86859.7269164485. The cubic root of 7544612160 is about 1961.3072772629.

The spelling of 7544612160 in words is "seven billion, five hundred forty-four million, six hundred twelve thousand, one hundred sixty".