10737418240 has 64 divisors (see below), whose sum is σ = 25769803770. Its totient is φ = 4294967296.

The previous prime is 10737418213. The next prime is 10737418247. The reversal of 10737418240 is 4281473701.

It can be written as a sum of positive squares in only one way, i.e., 9663676416 + 1073741824 = 98304^2 + 32768^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an ABA number since it can be written as A⋅B^A, here for A=10, B=8.

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 10737418240.

It is not an unprimeable number, because it can be changed into a prime (10737418247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 10737418240 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2147483646 + ... + 2147483650.

Almost surely, 2^10737418240 is an apocalyptic number.

10737418240 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 10737418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12884901885).

10737418240 is an abundant number, since it is smaller than the sum of its proper divisors (15032385530).

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

10737418240 is an frugal number, since it uses more digits than its factorization.

10737418240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The spelling of 10737418240 in words is "ten billion, seven hundred thirty-seven million, four hundred eighteen thousand, two hundred forty".