6428862812160 has 832 divisors, whose sum is σ = 24835636224000. Its totient is φ = 1571662725120.

The previous prime is 6428862812147. The next prime is 6428862812201. The reversal of 6428862812160 is 612182688246.

6428862812160 is a `hidden beast` number, since 6 + 4 + 2 + 8 + 8 + 628 + 1 + 2 + 1 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6428862812097 and 6428862812106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 325683571 + ... + 325703309.

Almost surely, 2^{6428862812160} is an apocalyptic number.

6428862812160 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 6428862812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12417818112000).

6428862812160 is an abundant number, since it is smaller than the sum of its proper divisors (18406773411840).

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

6428862812160 is a wasteful number, since it uses less digits than its factorization.

6428862812160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19827 (or 19799 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 6428862812160 in words is "six trillion, four hundred twenty-eight billion, eight hundred sixty-two million, eight hundred twelve thousand, one hundred sixty".