10077675624 has 48 divisors (see below), whose sum is σ = 28234872900. Its totient is φ = 3243389184.

The previous prime is 10077675583. The next prime is 10077675637. The reversal of 10077675624 is 42657677001.

10077675624 is a `hidden beast` number, since 10 + 0 + 7 + 7 + 6 + 7 + 5 + 624 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8969984100 + 1107691524 = 94710^2 + 33282^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10077675624.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2411149 + ... + 2415324.

Almost surely, 2^10077675624 is an apocalyptic number.

It is an amenable number.

10077675624 is an abundant number, since it is smaller than the sum of its proper divisors (18157197276).

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

10077675624 is a wasteful number, since it uses less digits than its factorization.

10077675624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4826514 (or 4826507 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

It can be divided in two parts, 100776 and 75624, that added together give a square (176400 = 420²).

The spelling of 10077675624 in words is "ten billion, seventy-seven million, six hundred seventy-five thousand, six hundred twenty-four".