6213838932000 has 2304 divisors, whose sum is σ = 27102485329920. Its totient is φ = 1318367232000.

The previous prime is 6213838931999. The next prime is 6213838932017. The reversal of 6213838932000 is 2398383126.

6213838932000 is a `hidden beast` number, since 62 + 1 + 3 + 8 + 389 + 3 + 200 + 0 = 666.

It is a super-2 number, since 2×6213838932000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 383 ways as a sum of consecutive naturals, for example, 23626763869 + ... + 23626764131.

It is an arithmetic number, because the mean of its divisors is an integer number (11763231480).

Almost surely, 2^{6213838932000} is an apocalyptic number.

6213838932000 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 6213838932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13551242664960).

6213838932000 is an abundant number, since it is smaller than the sum of its proper divisors (20888646397920).

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

6213838932000 is a wasteful number, since it uses less digits than its factorization.

6213838932000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 6213838932000 in words is "six trillion, two hundred thirteen billion, eight hundred thirty-eight million, nine hundred thirty-two thousand".