6428377956 has 192 divisors, whose sum is σ = 20417918976. Its totient is φ = 1519948800.

The previous prime is 6428377951. The next prime is 6428377957. The reversal of 6428377956 is 6597738246.

It is a junction number, because it is equal to n+sod(n) for n = 6428377896 and 6428377905.

It is not an unprimeable number, because it can be changed into a prime (6428377951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 873211 + ... + 880541.

It is an arithmetic number, because the mean of its divisors is an integer number (106343328).

Almost surely, 2^6428377956 is an apocalyptic number.

6428377956 is a gapful number since it is divisible by the number (66) 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 6428377956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10208959488).

6428377956 is an abundant number, since it is smaller than the sum of its proper divisors (13989541020).

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

6428377956 is a wasteful number, since it uses less digits than its factorization.

6428377956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7442 (or 7440 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 57.

The square root of 6428377956 is about 80177.1660511894. The cubic root of 6428377956 is about 1859.3756292580.

The spelling of 6428377956 in words is "six billion, four hundred twenty-eight million, three hundred seventy-seven thousand, nine hundred fifty-six".