6485123904 has 224 divisors, whose sum is σ = 20084613120. Its totient is φ = 1808621568.

The previous prime is 6485123893. The next prime is 6485123917. The reversal of 6485123904 is 4093215846.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10935832 + ... + 10936424.

Almost surely, 2^6485123904 is an apocalyptic number.

6485123904 is a gapful number since it is divisible by the number (64) 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 6485123904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10042306560).

6485123904 is an abundant number, since it is smaller than the sum of its proper divisors (13599489216).

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

6485123904 is a wasteful number, since it uses less digits than its factorization.

6485123904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 6485123904 is about 80530.2670056420. The cubic root of 6485123904 is about 1864.8307679700.

The spelling of 6485123904 in words is "six billion, four hundred eighty-five million, one hundred twenty-three thousand, nine hundred four".