6437587968 has 704 divisors, whose sum is σ = 23895859200. Its totient is φ = 1672151040.

The previous prime is 6437587957. The next prime is 6437587993. The reversal of 6437587968 is 8697857346.

6437587968 is a `hidden beast` number, since 6 + 43 + 7 + 587 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 173988846 + ... + 173988882.

Almost surely, 2^6437587968 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 6437587968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11947929600).

6437587968 is an abundant number, since it is smaller than the sum of its proper divisors (17458271232).

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

6437587968 is a wasteful number, since it uses less digits than its factorization.

6437587968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 109 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The square root of 6437587968 is about 80234.5808738352. The cubic root of 6437587968 is about 1860.2631885637.

The spelling of 6437587968 in words is "six billion, four hundred thirty-seven million, five hundred eighty-seven thousand, nine hundred sixty-eight".