6905753904 has 80 divisors (see below), whose sum is σ = 20862609152. Its totient is φ = 1927183104.

The previous prime is 6905753893. The next prime is 6905753909. The reversal of 6905753904 is 4093575096.

It is a super-2 number, since 2×6905753904² = 95378873965222482432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6905753909) 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 15 ways as a sum of consecutive naturals, for example, 224539 + ... + 253434.

Almost surely, 2^6905753904 is an apocalyptic number.

It is an amenable number.

6905753904 is an abundant number, since it is smaller than the sum of its proper divisors (13956855248).

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

6905753904 is a wasteful number, since it uses less digits than its factorization.

6905753904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478034 (or 478028 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 48.

The square root of 6905753904 is about 83100.8658438647. The cubic root of 6905753904 is about 1904.3073012811.

The spelling of 6905753904 in words is "six billion, nine hundred five million, seven hundred fifty-three thousand, nine hundred four".