7531141264 has 40 divisors (see below), whose sum is σ = 15385245440. Its totient is φ = 3561418368.

The previous prime is 7531141223. The next prime is 7531141273. The reversal of 7531141264 is 4621411357.

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 7 ways as a sum of consecutive naturals, for example, 164122 + ... + 204934.

It is an arithmetic number, because the mean of its divisors is an integer number (384631136).

Almost surely, 2^7531141264 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 7531141264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7692622720).

7531141264 is an abundant number, since it is smaller than the sum of its proper divisors (7854104176).

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

7531141264 is a wasteful number, since it uses less digits than its factorization.

7531141264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41447 (or 41441 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 7531141264 is about 86782.1483025167. The cubic root of 7531141264 is about 1960.1392778994.

The spelling of 7531141264 in words is "seven billion, five hundred thirty-one million, one hundred forty-one thousand, two hundred sixty-four".