7541428960 has 144 divisors (see below), whose sum is σ = 19448961840. Its totient is φ = 2761973760.

The previous prime is 7541428957. The next prime is 7541429009. The reversal of 7541428960 is 698241457.

It is a self number, because there is not a number n which added to its sum of digits gives 7541428960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3541176 + ... + 3543304.

It is an arithmetic number, because the mean of its divisors is an integer number (135062235).

Almost surely, 2^7541428960 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 7541428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9724480920).

7541428960 is an abundant number, since it is smaller than the sum of its proper divisors (11907532880).

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

7541428960 is a wasteful number, since it uses less digits than its factorization.

7541428960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The square root of 7541428960 is about 86841.4011863005. The cubic root of 7541428960 is about 1961.0314021775.

The spelling of 7541428960 in words is "seven billion, five hundred forty-one million, four hundred twenty-eight thousand, nine hundred sixty".