6419950270272 has 1120 divisors, whose sum is σ = 25120250496000. Its totient is φ = 1570597724160.

The previous prime is 6419950270199. The next prime is 6419950270309. The reversal of 6419950270272 is 2720720599146.

6419950270272 is a `hidden beast` number, since 6 + 4 + 19 + 95 + 0 + 270 + 272 = 666.

It is a super-2 number, since 2×6419950270272² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

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, 1357568004 + ... + 1357572732.

Almost surely, 2^{6419950270272} 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 6419950270272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12560125248000).

6419950270272 is an abundant number, since it is smaller than the sum of its proper divisors (18700300225728).

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

6419950270272 is a wasteful number, since it uses less digits than its factorization.

6419950270272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4969 (or 4950 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 6419950270272 in words is "six trillion, four hundred nineteen billion, nine hundred fifty million, two hundred seventy thousand, two hundred seventy-two".