10640463600 has 240 divisors, whose sum is σ = 38639888000. Its totient is φ = 2481269760.

The previous prime is 10640463577. The next prime is 10640463629. The reversal of 10640463600 is 636404601.

10640463600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10640463600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278451 + ... + 314349.

Almost surely, 2^10640463600 is an apocalyptic number.

10640463600 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 10640463600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19319944000).

10640463600 is an abundant number, since it is smaller than the sum of its proper divisors (27999424400).

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

10640463600 is a wasteful number, since it uses less digits than its factorization.

10640463600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35952 (or 35941 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 10640463600 in words is "ten billion, six hundred forty million, four hundred sixty-three thousand, six hundred".