6386042880 has 576 divisors, whose sum is σ = 26677123200. Its totient is φ = 1380188160.

The previous prime is 6386042879. The next prime is 6386042893. The reversal of 6386042880 is 882406836.

It is a happy number.

6386042880 is a `hidden beast` number, since 6 + 38 + 604 + 2 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 12257020 + ... + 12257540.

It is an arithmetic number, because the mean of its divisors is an integer number (46314450).

Almost surely, 2^6386042880 is an apocalyptic number.

6386042880 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 6386042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13338561600).

6386042880 is an abundant number, since it is smaller than the sum of its proper divisors (20291080320).

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

6386042880 is a wasteful number, since it uses less digits than its factorization.

6386042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 6386042880 is about 79912.7203891846. The cubic root of 6386042880 is about 1855.2849008918.

The spelling of 6386042880 in words is "six billion, three hundred eighty-six million, forty-two thousand, eight hundred eighty".