6326135328240 has 960 divisors, whose sum is σ = 27768432706560. Its totient is φ = 1253277204480.

The previous prime is 6326135328211. The next prime is 6326135328263. The reversal of 6326135328240 is 428235316236.

6326135328240 is a `hidden beast` number, since 6 + 3 + 2 + 613 + 5 + 3 + 2 + 8 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 140648955 + ... + 140693925.

It is an arithmetic number, because the mean of its divisors is an integer number (28925450736).

Almost surely, 2^{6326135328240} is an apocalyptic number.

6326135328240 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 6326135328240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13884216353280).

6326135328240 is an abundant number, since it is smaller than the sum of its proper divisors (21442297378320).

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

6326135328240 is a wasteful number, since it uses less digits than its factorization.

6326135328240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45142 (or 45133 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 6326135328240 in words is "six trillion, three hundred twenty-six billion, one hundred thirty-five million, three hundred twenty-eight thousand, two hundred forty".