6421763400192 has 800 divisors, whose sum is σ = 22712774325120. Its totient is φ = 1769567772672.

The previous prime is 6421763400137. The next prime is 6421763400203. The reversal of 6421763400192 is 2910043671246.

6421763400192 is a `hidden beast` number, since 6 + 4 + 2 + 1 + 7 + 634 + 0 + 0 + 1 + 9 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7080223803 + ... + 7080224709.

Almost surely, 2^{6421763400192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6421763400192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11356387162560).

6421763400192 is an abundant number, since it is smaller than the sum of its proper divisors (16291010924928).

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

6421763400192 is an frugal number, since it uses more digits than its factorization.

6421763400192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 6421763400192 in words is "six trillion, four hundred twenty-one billion, seven hundred sixty-three million, four hundred thousand, one hundred ninety-two".