6428583051264 has 720 divisors, whose sum is σ = 22034123538336. Its totient is φ = 1783627776000.

The previous prime is 6428583051251. The next prime is 6428583051269. The reversal of 6428583051264 is 4621503858246.

6428583051264 is a `hidden beast` number, since 6 + 4 + 2 + 8 + 583 + 0 + 51 + 2 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6428583051264.

It is not an unprimeable number, because it can be changed into a prime (6428583051269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1020244914 + ... + 1020251214.

Almost surely, 2^{6428583051264} is an apocalyptic number.

6428583051264 is a gapful number since it is divisible by the number (64) 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 6428583051264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11017061769168).

6428583051264 is an abundant number, since it is smaller than the sum of its proper divisors (15605540487072).

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

6428583051264 is a wasteful number, since it uses less digits than its factorization.

6428583051264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6400 (or 6371 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 6428583051264 in words is "six trillion, four hundred twenty-eight billion, five hundred eighty-three million, fifty-one thousand, two hundred sixty-four".