5742513792 has 448 divisors, whose sum is σ = 18729648000. Its totient is φ = 1746800640.

The previous prime is 5742513769. The next prime is 5742513841. The reversal of 5742513792 is 2973152475.

It is a happy number.

5742513792 is a `hidden beast` number, since 5 + 7 + 42 + 513 + 7 + 92 = 666.

Its product of digits (529200) is a multiple of the sum of its prime divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 72690009 + ... + 72690087.

It is an arithmetic number, because the mean of its divisors is an integer number (41807250).

Almost surely, 2^5742513792 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 5742513792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9364824000).

5742513792 is an abundant number, since it is smaller than the sum of its proper divisors (12987134208).

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

5742513792 is an equidigital number, since it uses as much as digits as its factorization.

5742513792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 144 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 5742513792 is about 75779.3757694005. The cubic root of 5742513792 is about 1790.7461067838.

It can be divided in two parts, 57425 and 13792, that added together give a palindrome (71217).

The spelling of 5742513792 in words is "five billion, seven hundred forty-two million, five hundred thirteen thousand, seven hundred ninety-two".