6908639040 has 560 divisors, whose sum is σ = 25810659072. Its totient is φ = 1752551424.

The previous prime is 6908639009. The next prime is 6908639041. The reversal of 6908639040 is 409368096.

6908639040 is a `hidden beast` number, since 6 + 9 + 0 + 8 + 639 + 0 + 4 + 0 = 666.

It is a super-3 number, since 3×6908639040³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6908639041) 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, 64566667 + ... + 64566773.

Almost surely, 2^6908639040 is an apocalyptic number.

6908639040 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 6908639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12905329536).

6908639040 is an abundant number, since it is smaller than the sum of its proper divisors (18902020032).

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

6908639040 is a wasteful number, since it uses less digits than its factorization.

6908639040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 6908639040 is about 83118.2232726374. The cubic root of 6908639040 is about 1904.5724628006.

The spelling of 6908639040 in words is "six billion, nine hundred eight million, six hundred thirty-nine thousand, forty".