6432221961000 has 1024 divisors, whose sum is σ = 25306612531200. Its totient is φ = 1497225600000.

The previous prime is 6432221960953. The next prime is 6432221961101. The reversal of 6432221961000 is 1691222346.

It is a happy number.

6432221961000 is a `hidden beast` number, since 6 + 4 + 3 + 2 + 22 + 19 + 610 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1206114334 + ... + 1206119666.

It is an arithmetic number, because the mean of its divisors is an integer number (24713488800).

Almost surely, 2^{6432221961000} is an apocalyptic number.

6432221961000 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 6432221961000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12653306265600).

6432221961000 is an abundant number, since it is smaller than the sum of its proper divisors (18874390570200).

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

6432221961000 is a wasteful number, since it uses less digits than its factorization.

6432221961000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5536 (or 5516 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 6432221961000 in words is "six trillion, four hundred thirty-two billion, two hundred twenty-one million, nine hundred sixty-one thousand".