10006733370 has 64 divisors (see below), whose sum is σ = 24515395200. Its totient is φ = 2613182208.

The previous prime is 10006733357. The next prime is 10006733371. The reversal of 10006733370 is 7333760001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10006733371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 879981 + ... + 891279.

It is an arithmetic number, because the mean of its divisors is an integer number (383053050).

Almost surely, 2^10006733370 is an apocalyptic number.

10006733370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10006733370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12257697600).

10006733370 is an abundant number, since it is smaller than the sum of its proper divisors (14508661830).

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

10006733370 is a wasteful number, since it uses less digits than its factorization.

10006733370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11919.

The product of its (nonzero) digits is 7938, while the sum is 30.

The spelling of 10006733370 in words is "ten billion, six million, seven hundred thirty-three thousand, three hundred seventy".