6428239384320 has 1152 divisors, whose sum is σ = 24925190734080. Its totient is φ = 1559400284160.

The previous prime is 6428239384241. The next prime is 6428239384337. The reversal of 6428239384320 is 234839328246.

6428239384320 is a `hidden beast` number, since 6 + 4 + 2 + 8 + 239 + 3 + 84 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11140795872 + ... + 11140796448.

It is an arithmetic number, because the mean of its divisors is an integer number (21636450290).

Almost surely, 2^{6428239384320} is an apocalyptic number.

6428239384320 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 6428239384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12462595367040).

6428239384320 is an abundant number, since it is smaller than the sum of its proper divisors (18496951349760).

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

6428239384320 is a wasteful number, since it uses less digits than its factorization.

6428239384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 6428239384320 in words is "six trillion, four hundred twenty-eight billion, two hundred thirty-nine million, three hundred eighty-four thousand, three hundred twenty".