6906354840 has 1280 divisors, whose sum is σ = 32115916800. Its totient is φ = 1287705600.

The previous prime is 6906354817. The next prime is 6906354857. The reversal of 6906354840 is 484536096.

6906354840 is a `hidden beast` number, since 6 + 9 + 0 + 63 + 548 + 40 = 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 (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 146943697 + ... + 146943743.

It is an arithmetic number, because the mean of its divisors is an integer number (25090560).

Almost surely, 2^6906354840 is an apocalyptic number.

6906354840 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 6906354840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16057958400).

6906354840 is an abundant number, since it is smaller than the sum of its proper divisors (25209561960).

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

6906354840 is a wasteful number, since it uses less digits than its factorization.

6906354840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 6906354840 is about 83104.4814676080. The cubic root of 6906354840 is about 1904.3625370375.

The spelling of 6906354840 in words is "six billion, nine hundred six million, three hundred fifty-four thousand, eight hundred forty".