10070080672 has 72 divisors (see below), whose sum is σ = 20570149908. Its totient is φ = 4852546560.

The previous prime is 10070080667. The next prime is 10070080673. The reversal of 10070080672 is 27608007001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10063299856 + 6780816 = 100316^2 + 2604^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (10070080673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9747868 + ... + 9748900.

Almost surely, 2^10070080672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10070080672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10285074954).

10070080672 is an abundant number, since it is smaller than the sum of its proper divisors (10500069236).

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

10070080672 is a wasteful number, since it uses less digits than its factorization.

10070080672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

Adding to 10070080672 its reverse (27608007001), we get a palindrome (37678087673).

The spelling of 10070080672 in words is "ten billion, seventy million, eighty thousand, six hundred seventy-two".