5742914688 has 256 divisors, whose sum is σ = 19463558400. Its totient is φ = 1633001472.

The previous prime is 5742914677. The next prime is 5742914713. The reversal of 5742914688 is 8864192475.

It is a happy number.

5742914688 is a `hidden beast` number, since 57 + 42 + 91 + 468 + 8 = 666.

It is a super-2 number, since 2×5742914688² = 65962138227292274688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6700756 + ... + 6701612.

It is an arithmetic number, because the mean of its divisors is an integer number (76029525).

Almost surely, 2^5742914688 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 5742914688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9731779200).

5742914688 is an abundant number, since it is smaller than the sum of its proper divisors (13720643712).

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

5742914688 is a wasteful number, since it uses less digits than its factorization.

5742914688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1146 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 5742914688 is about 75782.0208756668. The cubic root of 5742914688 is about 1790.7877776311.

The spelling of 5742914688 in words is "five billion, seven hundred forty-two million, nine hundred fourteen thousand, six hundred eighty-eight".