6385106880 has 392 divisors, whose sum is σ = 23107034304. Its totient is φ = 1679616000.

The previous prime is 6385106879. The next prime is 6385106911. The reversal of 6385106880 is 886015836.

6385106880 is a `hidden beast` number, since 638 + 5 + 1 + 0 + 6 + 8 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 23561145 + ... + 23561415.

Almost surely, 2^6385106880 is an apocalyptic number.

6385106880 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 6385106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11553517152).

6385106880 is an abundant number, since it is smaller than the sum of its proper divisors (16721927424).

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

6385106880 is a wasteful number, since it uses less digits than its factorization.

6385106880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 6385106880 is about 79906.8637852844. The cubic root of 6385106880 is about 1855.1942536502.

The spelling of 6385106880 in words is "six billion, three hundred eighty-five million, one hundred six thousand, eight hundred eighty".