10406733666 has 128 divisors (see below), whose sum is σ = 25312100352. Its totient is φ = 2789640000.

The previous prime is 10406733581. The next prime is 10406733677. The reversal of 10406733666 is 66633760401.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8453271 + ... + 8454501.

It is an arithmetic number, because the mean of its divisors is an integer number (197750784).

Almost surely, 2^10406733666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10406733666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12656050176).

10406733666 is an abundant number, since it is smaller than the sum of its proper divisors (14905366686).

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

10406733666 is a wasteful number, since it uses less digits than its factorization.

10406733666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468.

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 10406733666 in words is "ten billion, four hundred six million, seven hundred thirty-three thousand, six hundred sixty-six".