6406104936 has 192 divisors, whose sum is σ = 20261283840. Its totient is φ = 1652112000.

The previous prime is 6406104931. The next prime is 6406104937. The reversal of 6406104936 is 6394016046.

It is a junction number, because it is equal to n+sod(n) for n = 6406104894 and 6406104903.

It is not an unprimeable number, because it can be changed into a prime (6406104931) 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, 3068485 + ... + 3070571.

It is an arithmetic number, because the mean of its divisors is an integer number (105527520).

Almost surely, 2^6406104936 is an apocalyptic number.

6406104936 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 6406104936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10130641920).

6406104936 is an abundant number, since it is smaller than the sum of its proper divisors (13855178904).

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

6406104936 is a wasteful number, since it uses less digits than its factorization.

6406104936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 6406104936 is about 80038.1467551567. The cubic root of 6406104936 is about 1857.2256917259.

It can be divided in two parts, 640610 and 4936, that added together give a palindrome (645546).

The spelling of 6406104936 in words is "six billion, four hundred six million, one hundred four thousand, nine hundred thirty-six".