10623404064 has 192 divisors, whose sum is σ = 34905185280. Its totient is φ = 2754155520.

The previous prime is 10623404017. The next prime is 10623404081. The reversal of 10623404064 is 46040432601.

It is a super-2 number, since 2×10623404064² (a number of 21 digits) contains 22 as substring.

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, 505119 + ... + 525729.

It is an arithmetic number, because the mean of its divisors is an integer number (181797840).

Almost surely, 2^10623404064 is an apocalyptic number.

10623404064 is a gapful number since it is divisible by the number (14) 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 10623404064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17452592640).

10623404064 is an abundant number, since it is smaller than the sum of its proper divisors (24281781216).

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

10623404064 is a wasteful number, since it uses less digits than its factorization.

10623404064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20703 (or 20695 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 10623404064 its reverse (46040432601), we get a palindrome (56663836665).

The spelling of 10623404064 in words is "ten billion, six hundred twenty-three million, four hundred four thousand, sixty-four".