6436142496 has 96 divisors (see below), whose sum is σ = 21453828480. Its totient is φ = 1838896128.

The previous prime is 6436142477. The next prime is 6436142507. The reversal of 6436142496 is 6942416346.

6436142496 is a `hidden beast` number, since 6 + 4 + 3 + 614 + 24 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×6436142496² = 82847860457634220032, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526041 + ... + 538136.

It is an arithmetic number, because the mean of its divisors is an integer number (223477380).

Almost surely, 2^6436142496 is an apocalyptic number.

It is an amenable number.

6436142496 is an abundant number, since it is smaller than the sum of its proper divisors (15017685984).

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

6436142496 is a wasteful number, since it uses less digits than its factorization.

6436142496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064203 (or 1064189 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 6436142496 is about 80225.5725813160. The cubic root of 6436142496 is about 1860.1239459547.

The spelling of 6436142496 in words is "six billion, four hundred thirty-six million, one hundred forty-two thousand, four hundred ninety-six".