6428379138048 has 1152 divisors, whose sum is σ = 23050138325760. Its totient is φ = 1751458775040.

The previous prime is 6428379138001. The next prime is 6428379138053. The reversal of 6428379138048 is 8408319738246.

6428379138048 is a `hidden beast` number, since 6 + 428 + 3 + 7 + 91 + 3 + 80 + 48 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6831433258 + ... + 6831434198.

It is an arithmetic number, because the mean of its divisors is an integer number (20008800630).

Almost surely, 2^{6428379138048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6428379138048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11525069162880).

6428379138048 is an abundant number, since it is smaller than the sum of its proper divisors (16621759187712).

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

6428379138048 is an equidigital number, since it uses as much as digits as its factorization.

6428379138048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 6428379138048 in words is "six trillion, four hundred twenty-eight billion, three hundred seventy-nine million, one hundred thirty-eight thousand, forty-eight".