6353234838324 has 720 divisors, whose sum is σ = 19877476227840. Its totient is φ = 1761357312000.

The previous prime is 6353234838319. The next prime is 6353234838347. The reversal of 6353234838324 is 4238384323536.

6353234838324 is a `hidden beast` number, since 6 + 3 + 5 + 3 + 234 + 8 + 383 + 24 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3527614224 + ... + 3527616024.

It is an arithmetic number, because the mean of its divisors is an integer number (27607605872).

Almost surely, 2^{6353234838324} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6353234838324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9938738113920).

6353234838324 is an abundant number, since it is smaller than the sum of its proper divisors (13524241389516).

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

6353234838324 is a wasteful number, since it uses less digits than its factorization.

6353234838324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1980 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 54.

The spelling of 6353234838324 in words is "six trillion, three hundred fifty-three billion, two hundred thirty-four million, eight hundred thirty-eight thousand, three hundred twenty-four".