6906731040 has 576 divisors, whose sum is σ = 27639480960. Its totient is φ = 1552711680.

The previous prime is 6906731033. The next prime is 6906731071. The reversal of 6906731040 is 401376096.

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 = 6906730986 and 6906731004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15950664 + ... + 15951096.

It is an arithmetic number, because the mean of its divisors is an integer number (47985210).

Almost surely, 2^6906731040 is an apocalyptic number.

6906731040 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 6906731040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13819740480).

6906731040 is an abundant number, since it is smaller than the sum of its proper divisors (20732749920).

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

6906731040 is a wasteful number, since it uses less digits than its factorization.

6906731040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 6906731040 is about 83106.7448526291. The cubic root of 6906731040 is about 1904.3971142829.

The spelling of 6906731040 in words is "six billion, nine hundred six million, seven hundred thirty-one thousand, forty".