5742121760 has 96 divisors (see below), whose sum is σ = 14196056112. Its totient is φ = 2192486400.

The previous prime is 5742121753. The next prime is 5742121799. The reversal of 5742121760 is 671212475.

It can be written as a sum of positive squares in 8 ways, for example, as 2503601296 + 3238520464 = 50036^2 + 56908^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5742121760.

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 15 ways as a sum of consecutive naturals, for example, 304610 + ... + 322910.

Almost surely, 2^5742121760 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 5742121760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7098028056).

5742121760 is an abundant number, since it is smaller than the sum of its proper divisors (8453934352).

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

5742121760 is a wasteful number, since it uses less digits than its factorization.

5742121760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18406 (or 18398 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 5742121760 is about 75776.7890583918. The cubic root of 5742121760 is about 1790.7053554230.

The spelling of 5742121760 in words is "five billion, seven hundred forty-two million, one hundred twenty-one thousand, seven hundred sixty".