10408319064 has 192 divisors, whose sum is σ = 33448615200. Its totient is φ = 2882304000.

The previous prime is 10408319029. The next prime is 10408319093. The reversal of 10408319064 is 46091380401.

10408319064 is a `hidden beast` number, since 1 + 0 + 408 + 3 + 190 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1034892 + ... + 1044900.

Almost surely, 2^10408319064 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 10408319064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16724307600).

10408319064 is an abundant number, since it is smaller than the sum of its proper divisors (23040296136).

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

10408319064 is a wasteful number, since it uses less digits than its factorization.

10408319064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10146 (or 10139 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 10408319064 its reverse (46091380401), we get a palindrome (56499699465).

The spelling of 10408319064 in words is "ten billion, four hundred eight million, three hundred nineteen thousand, sixty-four".