10007630577 has 24 divisors (see below), whose sum is σ = 16528341440. Its totient is φ = 5715943200.

The previous prime is 10007630539. The next prime is 10007630593. The reversal of 10007630577 is 77503670001.

10007630577 is a `hidden beast` number, since 10 + 0 + 0 + 7 + 630 + 5 + 7 + 7 = 666.

10007630577 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10007630577 - 2⁷ = 10007630449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10007630377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100827 + ... + 173727.

Almost surely, 2^10007630577 is an apocalyptic number.

It is an amenable number.

10007630577 is a deficient number, since it is larger than the sum of its proper divisors (6520710863).

10007630577 is a wasteful number, since it uses less digits than its factorization.

10007630577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75093 (or 75090 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The spelling of 10007630577 in words is "ten billion, seven million, six hundred thirty thousand, five hundred seventy-seven".