6409213272000 has 1344 divisors, whose sum is σ = 28793194859520. Its totient is φ = 1322044416000.

The previous prime is 6409213271983. The next prime is 6409213272071. The reversal of 6409213272000 is 2723129046.

6409213272000 is a `hidden beast` number, since 6 + 40 + 92 + 1 + 327 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 770611842 + ... + 770620158.

It is an arithmetic number, because the mean of its divisors is an integer number (21423508080).

Almost surely, 2^{6409213272000} is an apocalyptic number.

6409213272000 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 6409213272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14396597429760).

6409213272000 is an abundant number, since it is smaller than the sum of its proper divisors (22383981587520).

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

6409213272000 is a wasteful number, since it uses less digits than its factorization.

6409213272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8507 (or 8484 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 6409213272000 in words is "six trillion, four hundred nine billion, two hundred thirteen million, two hundred seventy-two thousand".