10700605440 has 960 divisors, whose sum is σ = 46616169600. Its totient is φ = 2293235712.

The previous prime is 10700605411. The next prime is 10700605483. The reversal of 10700605440 is 4450600701.

10700605440 is a `hidden beast` number, since 10 + 7 + 0 + 0 + 605 + 4 + 40 = 666.

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

It is a super-2 number, since 2×10700605440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 110315472 + ... + 110315568.

It is an arithmetic number, because the mean of its divisors is an integer number (48558510).

Almost surely, 2^10700605440 is an apocalyptic number.

10700605440 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 10700605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23308084800).

10700605440 is an abundant number, since it is smaller than the sum of its proper divisors (35915564160).

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

10700605440 is an equidigital number, since it uses as much as digits as its factorization.

10700605440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 10700605440 in words is "ten billion, seven hundred million, six hundred five thousand, four hundred forty".