6329046240 has 192 divisors, whose sum is σ = 24165630720. Its totient is φ = 1534302720.

The previous prime is 6329046233. The next prime is 6329046271. The reversal of 6329046240 is 426409236.

6329046240 is a `hidden beast` number, since 6 + 3 + 29 + 0 + 4 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6329046195 and 6329046204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19074 + ... + 114113.

It is an arithmetic number, because the mean of its divisors is an integer number (125862660).

Almost surely, 2^6329046240 is an apocalyptic number.

6329046240 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 6329046240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12082815360).

6329046240 is an abundant number, since it is smaller than the sum of its proper divisors (17836584480).

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

6329046240 is a wasteful number, since it uses less digits than its factorization.

6329046240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133222 (or 133208 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 6329046240 is about 79555.3030287736. The cubic root of 6329046240 is about 1849.7488083590.

The spelling of 6329046240 in words is "six billion, three hundred twenty-nine million, forty-six thousand, two hundred forty".