6437882880 has 528 divisors, whose sum is σ = 26233762464. Its totient is φ = 1439170560.

The previous prime is 6437882861. The next prime is 6437882911. The reversal of 6437882880 is 882887346.

It is a tau number, because it is divible by the number of its divisors (528).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6588952 + ... + 6589928.

Almost surely, 2^6437882880 is an apocalyptic number.

6437882880 is a gapful number since it is divisible by the number (60) 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 6437882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13116881232).

6437882880 is an abundant number, since it is smaller than the sum of its proper divisors (19795879584).

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

6437882880 is a wasteful number, since it uses less digits than its factorization.

6437882880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The square root of 6437882880 is about 80236.4186638462. The cubic root of 6437882880 is about 1860.2915949359.

The spelling of 6437882880 in words is "six billion, four hundred thirty-seven million, eight hundred eighty-two thousand, eight hundred eighty".