6377484880 has 80 divisors (see below), whose sum is σ = 16023505680. Its totient is φ = 2346614784.

The previous prime is 6377484877. The next prime is 6377484931. The reversal of 6377484880 is 884847736.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7529536 + 6369955344 = 2744^2 + 79812^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×6377484880² = 81344626789257228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294256 + ... + 315184.

It is an arithmetic number, because the mean of its divisors is an integer number (200293821).

Almost surely, 2^6377484880 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 6377484880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8011752840).

6377484880 is an abundant number, since it is smaller than the sum of its proper divisors (9646020800).

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

6377484880 is a wasteful number, since it uses less digits than its factorization.

6377484880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21248 (or 21242 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 55.

The square root of 6377484880 is about 79859.1565194624. The cubic root of 6377484880 is about 1854.4557684484.

The spelling of 6377484880 in words is "six billion, three hundred seventy-seven million, four hundred eighty-four thousand, eight hundred eighty".