6341272704 has 512 divisors, whose sum is σ = 21659904000. Its totient is φ = 1811496960.

The previous prime is 6341272703. The next prime is 6341272709. The reversal of 6341272704 is 4072721436.

6341272704 is a `hidden beast` number, since 634 + 12 + 7 + 2 + 7 + 0 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6341272703) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40390194 + ... + 40390350.

It is an arithmetic number, because the mean of its divisors is an integer number (42304500).

Almost surely, 2^6341272704 is an apocalyptic number.

6341272704 is a gapful number since it is divisible by the number (64) 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 6341272704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10829952000).

6341272704 is an abundant number, since it is smaller than the sum of its proper divisors (15318631296).

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

6341272704 is a wasteful number, since it uses less digits than its factorization.

6341272704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 6341272704 is about 79632.1084990219. The cubic root of 6341272704 is about 1850.9391583121.

The spelling of 6341272704 in words is "six billion, three hundred forty-one million, two hundred seventy-two thousand, seven hundred four".