10644640686720 has 640 divisors, whose sum is σ = 39793258074240. Its totient is φ = 2706493464576.

The previous prime is 10644640686703. The next prime is 10644640686739. The reversal of 10644640686720 is 2768604644601.

It is a happy number.

10644640686720 is a `hidden beast` number, since 1 + 0 + 64 + 464 + 0 + 68 + 67 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×10644640686720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 377951359 + ... + 377979521.

It is an arithmetic number, because the mean of its divisors is an integer number (62176965741).

Almost surely, 2^{10644640686720} is an apocalyptic number.

10644640686720 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 10644640686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19896629037120).

10644640686720 is an abundant number, since it is smaller than the sum of its proper divisors (29148617387520).

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

10644640686720 is a wasteful number, since it uses less digits than its factorization.

10644640686720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28534 (or 28513 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 10644640686720 in words is "ten trillion, six hundred forty-four billion, six hundred forty million, six hundred eighty-six thousand, seven hundred twenty".