6319628406 has 96 divisors (see below), whose sum is σ = 16874544960. Its totient is φ = 1664520192.

The previous prime is 6319628401. The next prime is 6319628431. The reversal of 6319628406 is 6048269136.

6319628406 is a `hidden beast` number, since 6 + 3 + 19 + 628 + 4 + 0 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6319628401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1519626 + ... + 1523778.

It is an arithmetic number, because the mean of its divisors is an integer number (175776510).

Almost surely, 2^6319628406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6319628406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8437272480).

6319628406 is an abundant number, since it is smaller than the sum of its proper divisors (10554916554).

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

6319628406 is a wasteful number, since it uses less digits than its factorization.

6319628406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5110 (or 5107 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 6319628406 is about 79496.0905076470. The cubic root of 6319628406 is about 1848.8308567154.

The spelling of 6319628406 in words is "six billion, three hundred nineteen million, six hundred twenty-eight thousand, four hundred six".