6906034080 has 480 divisors, whose sum is σ = 26832472128. Its totient is φ = 1658880000.

The previous prime is 6906034039. The next prime is 6906034081. The reversal of 6906034080 is 804306096.

6906034080 is a `hidden beast` number, since 6 + 9 + 0 + 603 + 40 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (6906034081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27513955 + ... + 27514205.

Almost surely, 2^6906034080 is an apocalyptic number.

6906034080 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 6906034080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13416236064).

6906034080 is an abundant number, since it is smaller than the sum of its proper divisors (19926438048).

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

6906034080 is a wasteful number, since it uses less digits than its factorization.

6906034080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6906034080 is about 83102.5515853755. The cubic root of 6906034080 is about 1904.3330543944. Note that the first 3 decimals are identical.

The spelling of 6906034080 in words is "six billion, nine hundred six million, thirty-four thousand, eighty".