6428498218272 has 576 divisors, whose sum is σ = 22220557632000. Its totient is φ = 1741314392064.

The previous prime is 6428498218243. The next prime is 6428498218313. The reversal of 6428498218272 is 2728128948246.

6428498218272 is a `hidden beast` number, since 6 + 4 + 284 + 9 + 82 + 1 + 8 + 272 = 666.

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 95 ways as a sum of consecutive naturals, for example, 95502004 + ... + 95569292.

It is an arithmetic number, because the mean of its divisors is an integer number (38577357000).

Almost surely, 2^{6428498218272} 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 6428498218272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11110278816000).

6428498218272 is an abundant number, since it is smaller than the sum of its proper divisors (15792059413728).

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

6428498218272 is a wasteful number, since it uses less digits than its factorization.

6428498218272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67433 (or 67422 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 63.

The spelling of 6428498218272 in words is "six trillion, four hundred twenty-eight billion, four hundred ninety-eight million, two hundred eighteen thousand, two hundred seventy-two".