10695007440 has 720 divisors, whose sum is σ = 42354945360. Its totient is φ = 2399846400.

The previous prime is 10695007387. The next prime is 10695007483. The reversal of 10695007440 is 4470059601.

10695007440 is a `hidden beast` number, since 106 + 9 + 500 + 7 + 4 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2790374976 + 7904632464 = 52824^2 + 88908^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×10695007440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10695007395 and 10695007404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 260853820 + ... + 260853860.

It is an arithmetic number, because the mean of its divisors is an integer number (58826313).

Almost surely, 2^10695007440 is an apocalyptic number.

10695007440 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 10695007440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21177472680).

10695007440 is an abundant number, since it is smaller than the sum of its proper divisors (31659937920).

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

10695007440 is a wasteful number, since it uses less digits than its factorization.

10695007440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10695007440 in words is "ten billion, six hundred ninety-five million, seven thousand, four hundred forty".