6906954240 has 280 divisors, whose sum is σ = 24836103468. Its totient is φ = 1841356800.

The previous prime is 6906954151. The next prime is 6906954251. The reversal of 6906954240 is 424596096.

6906954240 is a `hidden beast` number, since 6 + 9 + 0 + 69 + 542 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6808230144 + 98724096 = 82512^2 + 9936^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1864390 + ... + 1868090.

Almost surely, 2^6906954240 is an apocalyptic number.

6906954240 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 6906954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12418051734).

6906954240 is an abundant number, since it is smaller than the sum of its proper divisors (17929149228).

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

6906954240 is an frugal number, since it uses more digits than its factorization.

6906954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 6906954240 is about 83108.0876930759. The cubic root of 6906954240 is about 1904.4176284188.

The spelling of 6906954240 in words is "six billion, nine hundred six million, nine hundred fifty-four thousand, two hundred forty".