10693779408 has 400 divisors, whose sum is σ = 34698310416. Its totient is φ = 3158507520.

The previous prime is 10693779389. The next prime is 10693779427. The reversal of 10693779408 is 80497739601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10693779389) and next prime (10693779427).

It can be written as a sum of positive squares in 8 ways, for example, as 5070579264 + 5623200144 = 71208^2 + 74988^2 .

It is a super-2 number, since 2×10693779408² (a number of 21 digits) contains 22 as substring.

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

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 79 ways as a sum of consecutive naturals, for example, 78056716 + ... + 78056852.

Almost surely, 2^10693779408 is an apocalyptic number.

10693779408 is a gapful number since it is divisible by the number (18) 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 10693779408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17349155208).

10693779408 is an abundant number, since it is smaller than the sum of its proper divisors (24004531008).

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

10693779408 is a wasteful number, since it uses less digits than its factorization.

10693779408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 10693779408 in words is "ten billion, six hundred ninety-three million, seven hundred seventy-nine thousand, four hundred eight".