6329795040 has 288 divisors, whose sum is σ = 22643712000. Its totient is φ = 1607113728.

The previous prime is 6329795029. The next prime is 6329795081. The reversal of 6329795040 is 405979236.

It is a happy number.

6329795040 is a `hidden beast` number, since 632 + 9 + 7 + 9 + 5 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12684711 + ... + 12685209.

It is an arithmetic number, because the mean of its divisors is an integer number (78624000).

Almost surely, 2^6329795040 is an apocalyptic number.

6329795040 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 6329795040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11321856000).

6329795040 is an abundant number, since it is smaller than the sum of its proper divisors (16313916960).

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

6329795040 is a wasteful number, since it uses less digits than its factorization.

6329795040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 6329795040 is about 79560.0090497732. The cubic root of 6329795040 is about 1849.8217544362.

The spelling of 6329795040 in words is "six billion, three hundred twenty-nine million, seven hundred ninety-five thousand, forty".