6409402272 has 720 divisors, whose sum is σ = 24665292288. Its totient is φ = 1564738560.

The previous prime is 6409402261. The next prime is 6409402273. The reversal of 6409402272 is 2722049046.

6409402272 is a `hidden beast` number, since 640 + 9 + 4 + 0 + 2 + 2 + 7 + 2 = 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 (6409402273) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 206754897 + ... + 206754927.

Almost surely, 2^6409402272 is an apocalyptic number.

6409402272 is a gapful number since it is divisible by the number (62) 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 6409402272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12332646144).

6409402272 is an abundant number, since it is smaller than the sum of its proper divisors (18255890016).

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

6409402272 is a wasteful number, since it uses less digits than its factorization.

6409402272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6409402272 is about 80058.7426331441. The cubic root of 6409402272 is about 1857.5442860877.

The spelling of 6409402272 in words is "six billion, four hundred nine million, four hundred two thousand, two hundred seventy-two".