5742627840 has 440 divisors, whose sum is σ = 21007820592. Its totient is φ = 1499627520.

The previous prime is 5742627823. The next prime is 5742627859. The reversal of 5742627840 is 487262475.

It is a happy number.

5742627840 is a `hidden beast` number, since 574 + 2 + 6 + 2 + 78 + 4 + 0 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25297807 + ... + 25298033.

Almost surely, 2^5742627840 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 5742627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10503910296).

5742627840 is an abundant number, since it is smaller than the sum of its proper divisors (15265192752).

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

5742627840 is a wasteful number, since it uses less digits than its factorization.

5742627840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 5742627840 is about 75780.1282659247. The cubic root of 5742627840 is about 1790.7579616188.

The spelling of 5742627840 in words is "five billion, seven hundred forty-two million, six hundred twenty-seven thousand, eight hundred forty".