6306253873920 has 5184 divisors, whose sum is σ = 32266383851520. Its totient is φ = 1100700057600.

The previous prime is 6306253873891. The next prime is 6306253873957. The reversal of 6306253873920 is 293783526036.

It is a happy number.

6306253873920 is a `hidden beast` number, since 6 + 3 + 0 + 625 + 3 + 8 + 7 + 3 + 9 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 106885658851 + ... + 106885658909.

It is an arithmetic number, because the mean of its divisors is an integer number (6224225280).

Almost surely, 2^{6306253873920} is an apocalyptic number.

6306253873920 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 6306253873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16133191925760).

6306253873920 is an abundant number, since it is smaller than the sum of its proper divisors (25960129977600).

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

6306253873920 is a wasteful number, since it uses less digits than its factorization.

6306253873920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 6306253873920 in words is "six trillion, three hundred six billion, two hundred fifty-three million, eight hundred seventy-three thousand, nine hundred twenty".