6427123840928 has 144 divisors (see below), whose sum is σ = 15290558438400. Its totient is φ = 2648367429120.

The previous prime is 6427123840901. The next prime is 6427123840933. The reversal of 6427123840928 is 8290483217246.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10572113 + ... + 11163503.

It is an arithmetic number, because the mean of its divisors is an integer number (106184433600).

Almost surely, 2^{6427123840928} 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 6427123840928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7645279219200).

6427123840928 is an abundant number, since it is smaller than the sum of its proper divisors (8863434597472).

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

6427123840928 is a wasteful number, since it uses less digits than its factorization.

6427123840928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591683 (or 591668 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 56.

The spelling of 6427123840928 in words is "six trillion, four hundred twenty-seven billion, one hundred twenty-three million, eight hundred forty thousand, nine hundred twenty-eight".