6420250017792 has 960 divisors, whose sum is σ = 21422697609600. Its totient is φ = 1886681825280.

The previous prime is 6420250017719. The next prime is 6420250017871. The reversal of 6420250017792 is 2977100520246.

6420250017792 is a `hidden beast` number, since 6 + 42 + 0 + 2 + 500 + 17 + 7 + 92 = 666.

It is a super-2 number, since 2×6420250017792² (a number of 26 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 22847864692 + ... + 22847864972.

It is an arithmetic number, because the mean of its divisors is an integer number (22315310010).

Almost surely, 2^{6420250017792} 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 6420250017792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10711348804800).

6420250017792 is an abundant number, since it is smaller than the sum of its proper divisors (15002447591808).

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

6420250017792 is a wasteful number, since it uses less digits than its factorization.

6420250017792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 6420250017792 in words is "six trillion, four hundred twenty billion, two hundred fifty million, seventeen thousand, seven hundred ninety-two".