10070637800 has 72 divisors (see below), whose sum is σ = 24064807410. Its totient is φ = 3919276800.

The previous prime is 10070637779. The next prime is 10070637821. The reversal of 10070637800 is 873607001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10070637779) and next prime (10070637821).

It can be written as a sum of positive squares in 9 ways, for example, as 1208674756 + 8861963044 = 34766^2 + 94138^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 255410 + ... + 292190.

Almost surely, 2^10070637800 is an apocalyptic number.

10070637800 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 10070637800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12032403705).

10070637800 is an abundant number, since it is smaller than the sum of its proper divisors (13994169610).

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

10070637800 is a wasteful number, since it uses less digits than its factorization.

10070637800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36871 (or 36825 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The spelling of 10070637800 in words is "ten billion, seventy million, six hundred thirty-seven thousand, eight hundred".