10620610640 has 80 divisors (see below), whose sum is σ = 26252926848. Its totient is φ = 3986830848.

The previous prime is 10620610639. The next prime is 10620610643. The reversal of 10620610640 is 4601602601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10620610640² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10620610643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43067 + ... + 151973.

Almost surely, 2^10620610640 is an apocalyptic number.

10620610640 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 10620610640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13126463424).

10620610640 is an abundant number, since it is smaller than the sum of its proper divisors (15632316208).

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

10620610640 is a wasteful number, since it uses less digits than its factorization.

10620610640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108996 (or 108990 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 10620610640 in words is "ten billion, six hundred twenty million, six hundred ten thousand, six hundred forty".