10676490240 has 208 divisors, whose sum is σ = 36791088768. Its totient is φ = 2627862528.

The previous prime is 10676490239. The next prime is 10676490259. The reversal of 10676490240 is 4209467601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (208).

It is a super-2 number, since 2×10676490240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 792037 + ... + 805403.

Almost surely, 2^10676490240 is an apocalyptic number.

10676490240 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 10676490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18395544384).

10676490240 is an abundant number, since it is smaller than the sum of its proper divisors (26114598528).

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

10676490240 is a wasteful number, since it uses less digits than its factorization.

10676490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13412 (or 13390 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 10676490240 in words is "ten billion, six hundred seventy-six million, four hundred ninety thousand, two hundred forty".