10643000406464 has 112 divisors (see below), whose sum is σ = 21959484432480. Its totient is φ = 5111841423360.

The previous prime is 10643000406431. The next prime is 10643000406491. The reversal of 10643000406464 is 46460400034601.

It is a super-3 number, since 3×10643000406464³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294304544 + ... + 294340704.

It is an arithmetic number, because the mean of its divisors is an integer number (196066825290).

Almost surely, 2^{10643000406464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10643000406464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10979742216240).

10643000406464 is an abundant number, since it is smaller than the sum of its proper divisors (11316484026016).

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

10643000406464 is a wasteful number, since it uses less digits than its factorization.

10643000406464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37006 (or 36996 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 10643000406464 in words is "ten trillion, six hundred forty-three billion, four hundred six thousand, four hundred sixty-four".