6429347084160 has 2560 divisors, whose sum is σ = 32455392076800. Its totient is φ = 1168116940800.

The previous prime is 6429347084159. The next prime is 6429347084263. The reversal of 6429347084160 is 614807439246.

6429347084160 is a `hidden beast` number, since 6 + 4 + 2 + 9 + 3 + 470 + 8 + 4 + 160 = 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 = 6429347084097 and 6429347084106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 985941700 + ... + 985948220.

It is an arithmetic number, because the mean of its divisors is an integer number (12677887530).

Almost surely, 2^{6429347084160} is an apocalyptic number.

6429347084160 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 6429347084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16227696038400).

6429347084160 is an abundant number, since it is smaller than the sum of its proper divisors (26026044992640).

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

6429347084160 is a wasteful number, since it uses less digits than its factorization.

6429347084160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6602 (or 6581 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 6429347084160 in words is "six trillion, four hundred twenty-nine billion, three hundred forty-seven million, eighty-four thousand, one hundred sixty".