10869344640 has 960 divisors, whose sum is σ = 49385278800. Its totient is φ = 2252759040.

The previous prime is 10869344599. The next prime is 10869344641. The reversal of 10869344640 is 4644396801.

10869344640 is a `hidden beast` number, since 1 + 0 + 86 + 93 + 446 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10869344641) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27941566 + ... + 27941954.

Almost surely, 2^10869344640 is an apocalyptic number.

10869344640 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 10869344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24692639400).

10869344640 is an abundant number, since it is smaller than the sum of its proper divisors (38515934160).

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

10869344640 is a wasteful number, since it uses less digits than its factorization.

10869344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 10869344640 in words is "ten billion, eight hundred sixty-nine million, three hundred forty-four thousand, six hundred forty".