10612810640 has 160 divisors (see below), whose sum is σ = 26172012384. Its totient is φ = 3996794880.

The previous prime is 10612810597. The next prime is 10612810657. The reversal of 10612810640 is 4601821601.

It can be written as a sum of positive squares in 16 ways, for example, as 6169788304 + 4443022336 = 78548^2 + 66656^2 .

It is a super-2 number, since 2×10612810640² (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, 19053242 + ... + 19053798.

Almost surely, 2^10612810640 is an apocalyptic number.

10612810640 is a gapful number since it is divisible by the number (10) 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 10612810640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13086006192).

10612810640 is an abundant number, since it is smaller than the sum of its proper divisors (15559201744).

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

10612810640 is a wasteful number, since it uses less digits than its factorization.

10612810640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 10612810640 in words is "ten billion, six hundred twelve million, eight hundred ten thousand, six hundred forty".