10627675701669 has 48 divisors (see below), whose sum is σ = 16811274825072. Its totient is φ = 6430167327744.

The previous prime is 10627675701641. The next prime is 10627675701679. The reversal of 10627675701669 is 96610757672601.

10627675701669 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 84731641569 + 10542944060100 = 291087^2 + 3246990^2 .

It is not a de Polignac number, because 10627675701669 - 2⁷ = 10627675701541 is a prime.

It is a super-2 number, since 2×10627675701669² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10627675701679) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 744859 + ... + 4670135.

It is an arithmetic number, because the mean of its divisors is an integer number (350234892189).

Almost surely, 2^{10627675701669} is an apocalyptic number.

It is an amenable number.

10627675701669 is a deficient number, since it is larger than the sum of its proper divisors (6183599123403).

10627675701669 is a wasteful number, since it uses less digits than its factorization.

10627675701669 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3925686 (or 3925683 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 10627675701669 in words is "ten trillion, six hundred twenty-seven billion, six hundred seventy-five million, seven hundred one thousand, six hundred sixty-nine".