6406193040 has 160 divisors (see below), whose sum is σ = 21465876096. Its totient is φ = 1571082240.

The previous prime is 6406193039. The next prime is 6406193071. The reversal of 6406193040 is 403916046.

It is a junction number, because it is equal to n+sod(n) for n = 6406192992 and 6406193010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 873067 + ... + 880373.

Almost surely, 2^6406193040 is an apocalyptic number.

6406193040 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 6406193040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10732938048).

6406193040 is an abundant number, since it is smaller than the sum of its proper divisors (15059683056).

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

6406193040 is a wasteful number, since it uses less digits than its factorization.

6406193040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7617 (or 7611 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 6406193040 is about 80038.6971408206. The cubic root of 6406193040 is about 1857.2342059096.

The spelling of 6406193040 in words is "six billion, four hundred six million, one hundred ninety-three thousand, forty".