6906382560 has 576 divisors, whose sum is σ = 29625523200. Its totient is φ = 1423319040.

The previous prime is 6906382547. The next prime is 6906382601. The reversal of 6906382560 is 652836096.

It is a happy number.

6906382560 is a `hidden beast` number, since 6 + 9 + 0 + 6 + 3 + 82 + 560 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22064964 + ... + 22065276.

It is an arithmetic number, because the mean of its divisors is an integer number (51433200).

Almost surely, 2^6906382560 is an apocalyptic number.

6906382560 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 6906382560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14812761600).

6906382560 is an abundant number, since it is smaller than the sum of its proper divisors (22719140640).

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

6906382560 is a wasteful number, since it uses less digits than its factorization.

6906382560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 540 counting only the distinct ones).

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

The square root of 6906382560 is about 83104.6482454501. The cubic root of 6906382560 is about 1904.3650848773.

The spelling of 6906382560 in words is "six billion, nine hundred six million, three hundred eighty-two thousand, five hundred sixty".