10640621136600 has 1728 divisors, whose sum is σ = 47565682164000. Its totient is φ = 2106910310400.

The previous prime is 10640621136599. The next prime is 10640621136617. The reversal of 10640621136600 is 663112604601.

It is a happy number.

10640621136600 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 0 + 6 + 2 + 11 + 36 + 600 = 666.

It is a super-3 number, since 3×10640621136600³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 431 ways as a sum of consecutive naturals, for example, 2374606360 + ... + 2374610840.

Almost surely, 2^{10640621136600} is an apocalyptic number.

10640621136600 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 10640621136600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23782841082000).

10640621136600 is an abundant number, since it is smaller than the sum of its proper divisors (36925061027400).

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

10640621136600 is a wasteful number, since it uses less digits than its factorization.

10640621136600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4658 (or 4639 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10640621136600 in words is "ten trillion, six hundred forty billion, six hundred twenty-one million, one hundred thirty-six thousand, six hundred".