6314421769920 has 1120 divisors, whose sum is σ = 25103255823360. Its totient is φ = 1493509570560.

The previous prime is 6314421769837. The next prime is 6314421769961. The reversal of 6314421769920 is 299671244136.

6314421769920 is a `hidden beast` number, since 6 + 3 + 1 + 442 + 176 + 9 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6258098376 + ... + 6258099384.

Almost surely, 2^{6314421769920} is an apocalyptic number.

6314421769920 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 6314421769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12551627911680).

6314421769920 is an abundant number, since it is smaller than the sum of its proper divisors (18788834053440).

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

6314421769920 is a wasteful number, since it uses less digits than its factorization.

6314421769920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 6314421769920 in words is "six trillion, three hundred fourteen billion, four hundred twenty-one million, seven hundred sixty-nine thousand, nine hundred twenty".