6286934016 has 544 divisors, whose sum is σ = 22649068800. Its totient is φ = 1698693120.

The previous prime is 6286933993. The next prime is 6286934021. The reversal of 6286934016 is 6104396826.

6286934016 is a `hidden beast` number, since 628 + 6 + 9 + 3 + 4 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (544).

It is a super-3 number, since 3×6286934016³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330891255 + ... + 330891273.

Almost surely, 2^6286934016 is an apocalyptic number.

6286934016 is a gapful number since it is divisible by the number (66) 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 6286934016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11324534400).

6286934016 is an abundant number, since it is smaller than the sum of its proper divisors (16362134784).

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

6286934016 is a wasteful number, since it uses less digits than its factorization.

6286934016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 6286934016 is about 79290.1886490378. The cubic root of 6286934016 is about 1845.6370541176.

The spelling of 6286934016 in words is "six billion, two hundred eighty-six million, nine hundred thirty-four thousand, sixteen".