10006777376 has 24 divisors (see below), whose sum is σ = 19875193884. Its totient is φ = 4959109120.

The previous prime is 10006777369. The next prime is 10006777387. The reversal of 10006777376 is 67377760001.

It can be written as a sum of positive squares in 2 ways, for example, as 9785957776 + 220819600 = 98924^2 + 14860^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1380065 + ... + 1387296.

Almost surely, 2^10006777376 is an apocalyptic number.

10006777376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10006777376 is a deficient number, since it is larger than the sum of its proper divisors (9868416508).

10006777376 is a wasteful number, since it uses less digits than its factorization.

10006777376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767484 (or 2767476 counting only the distinct ones).

The product of its (nonzero) digits is 259308, while the sum is 44.

The spelling of 10006777376 in words is "ten billion, six million, seven hundred seventy-seven thousand, three hundred seventy-six".