5742733441536 has 1920 divisors, whose sum is σ = 22298872780800. Its totient is φ = 1444738498560.

The previous prime is 5742733441513. The next prime is 5742733441541. The reversal of 5742733441536 is 6351443372475.

5742733441536 is a `hidden beast` number, since 5 + 7 + 4 + 2 + 73 + 34 + 4 + 1 + 536 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29755095456 + ... + 29755095648.

It is an arithmetic number, because the mean of its divisors is an integer number (11613996240).

Almost surely, 2^{5742733441536} is an apocalyptic number.

5742733441536 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 5742733441536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11149436390400).

5742733441536 is an abundant number, since it is smaller than the sum of its proper divisors (16556139339264).

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

5742733441536 is a wasteful number, since it uses less digits than its factorization.

5742733441536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 358 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 54.

The spelling of 5742733441536 in words is "five trillion, seven hundred forty-two billion, seven hundred thirty-three million, four hundred forty-one thousand, five hundred thirty-six".