6428107234560 has 288 divisors, whose sum is σ = 22916956220928. Its totient is φ = 1522088386560.

The previous prime is 6428107234537. The next prime is 6428107234583. The reversal of 6428107234560 is 654327018246.

It is an interprime number because it is at equal distance from previous prime (6428107234537) and next prime (6428107234583).

It is a super-2 number, since 2×6428107234560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 46779 + ... + 3585861.

It is an arithmetic number, because the mean of its divisors is an integer number (79572764656).

Almost surely, 2^{6428107234560} is an apocalyptic number.

6428107234560 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 6428107234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11458478110464).

6428107234560 is an abundant number, since it is smaller than the sum of its proper divisors (16488848986368).

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

6428107234560 is a wasteful number, since it uses less digits than its factorization.

6428107234560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539161 (or 3539147 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 6428107234560 in words is "six trillion, four hundred twenty-eight billion, one hundred seven million, two hundred thirty-four thousand, five hundred sixty".