5742769536 has 256 divisors, whose sum is σ = 20214604800. Its totient is φ = 1569300480.

The previous prime is 5742769493. The next prime is 5742769547. The reversal of 5742769536 is 6359672475.

5742769536 is a `hidden beast` number, since 5 + 7 + 42 + 7 + 69 + 536 = 666.

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

It is a congruent number.

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, 551256 + ... + 561576.

It is an arithmetic number, because the mean of its divisors is an integer number (78963300).

Almost surely, 2^5742769536 is an apocalyptic number.

5742769536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5742769536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10107302400).

5742769536 is an abundant number, since it is smaller than the sum of its proper divisors (14471835264).

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

5742769536 is a wasteful number, since it uses less digits than its factorization.

5742769536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10374 (or 10356 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 54.

The square root of 5742769536 is about 75781.0631754398. The cubic root of 5742769536 is about 1790.7726901345.

The spelling of 5742769536 in words is "five billion, seven hundred forty-two million, seven hundred sixty-nine thousand, five hundred thirty-six".