10242770673627 has 32 divisors (see below), whose sum is σ = 15199025318400. Its totient is φ = 6817468273056.

The previous prime is 10242770673617. The next prime is 10242770673689. The reversal of 10242770673627 is 72637607724201.

10242770673627 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 2 + 7 + 7 + 0 + 6 + 7 + 3 + 627 = 666.

It is not a de Polignac number, because 10242770673627 - 2²⁰ = 10242769625051 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10242770673617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228137193 + ... + 228182085.

It is an arithmetic number, because the mean of its divisors is an integer number (474969541200).

Almost surely, 2^{10242770673627} is an apocalyptic number.

10242770673627 is a deficient number, since it is larger than the sum of its proper divisors (4956254644773).

10242770673627 is a wasteful number, since it uses less digits than its factorization.

10242770673627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58384 (or 58378 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 54.

The spelling of 10242770673627 in words is "ten trillion, two hundred forty-two billion, seven hundred seventy million, six hundred seventy-three thousand, six hundred twenty-seven".