6326835840 has 384 divisors, whose sum is σ = 24771801600. Its totient is φ = 1475076096.

The previous prime is 6326835817. The next prime is 6326835857. The reversal of 6326835840 is 485386236.

It is a happy number.

6326835840 is a `hidden beast` number, since 6 + 3 + 2 + 68 + 3 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1420497 + ... + 1424943.

It is an arithmetic number, because the mean of its divisors is an integer number (64509900).

Almost surely, 2^6326835840 is an apocalyptic number.

6326835840 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 6326835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12385900800).

6326835840 is an abundant number, since it is smaller than the sum of its proper divisors (18444965760).

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

6326835840 is a wasteful number, since it uses less digits than its factorization.

6326835840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4504 (or 4489 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 6326835840 is about 79541.4095927398. The cubic root of 6326835840 is about 1849.5334435847.

The spelling of 6326835840 in words is "six billion, three hundred twenty-six million, eight hundred thirty-five thousand, eight hundred forty".