6304878723000 has 512 divisors, whose sum is σ = 24469700935680. Its totient is φ = 1327887360000.

The previous prime is 6304878722993. The next prime is 6304878723019. The reversal of 6304878723000 is 3278784036.

It is a super-2 number, since 2×6304878723000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6860745 + ... + 7725255.

It is an arithmetic number, because the mean of its divisors is an integer number (47792384640).

Almost surely, 2^{6304878723000} is an apocalyptic number.

6304878723000 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 6304878723000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12234850467840).

6304878723000 is an abundant number, since it is smaller than the sum of its proper divisors (18164822212680).

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

6304878723000 is a wasteful number, since it uses less digits than its factorization.

6304878723000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864576 (or 864562 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 6304878723000 in words is "six trillion, three hundred four billion, eight hundred seventy-eight million, seven hundred twenty-three thousand".