6334257900000 has 1152 divisors, whose sum is σ = 22288477446144. Its totient is φ = 1572480000000.

The previous prime is 6334257899989. The next prime is 6334257900143. The reversal of 6334257900000 is 97524336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34995899910 + ... + 34995900090.

It is an arithmetic number, because the mean of its divisors is an integer number (19347636672).

Almost surely, 2^{6334257900000} is an apocalyptic number.

6334257900000 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 6334257900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11144238723072).

6334257900000 is an abundant number, since it is smaller than the sum of its proper divisors (15954219546144).

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

6334257900000 is a wasteful number, since it uses less digits than its factorization.

6334257900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The spelling of 6334257900000 in words is "six trillion, three hundred thirty-four billion, two hundred fifty-seven million, nine hundred thousand".