10406802637 has 64 divisors (see below), whose sum is σ = 13950144000. Its totient is φ = 7515463680.

The previous prime is 10406802587. The next prime is 10406802647. The reversal of 10406802637 is 73620860401.

10406802637 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10406802637 - 2¹¹ = 10406800589 is a prime.

It is a super-2 number, since 2×10406802637² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10406802596 and 10406802605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10406802647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44664273 + ... + 44664505.

It is an arithmetic number, because the mean of its divisors is an integer number (217971000).

Almost surely, 2^10406802637 is an apocalyptic number.

10406802637 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10406802637 is a deficient number, since it is larger than the sum of its proper divisors (3543341363).

10406802637 is a wasteful number, since it uses less digits than its factorization.

10406802637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646.

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 10406802637 in words is "ten billion, four hundred six million, eight hundred two thousand, six hundred thirty-seven".