6206828040 has 384 divisors, whose sum is σ = 25338096000. Its totient is φ = 1343817216.

The previous prime is 6206828003. The next prime is 6206828041. The reversal of 6206828040 is 408286026.

6206828040 is a `hidden beast` number, since 620 + 6 + 8 + 28 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6206827986 and 6206828004.

It is not an unprimeable number, because it can be changed into a prime (6206828041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1002394 + ... + 1008566.

It is an arithmetic number, because the mean of its divisors is an integer number (65984625).

Almost surely, 2^6206828040 is an apocalyptic number.

6206828040 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 6206828040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12669048000).

6206828040 is an abundant number, since it is smaller than the sum of its proper divisors (19131267960).

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

6206828040 is a wasteful number, since it uses less digits than its factorization.

6206828040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6226 (or 6209 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6206828040 is about 78783.4249065119. The cubic root of 6206828040 is about 1837.7646965618.

The spelling of 6206828040 in words is "six billion, two hundred six million, eight hundred twenty-eight thousand, forty".