641090063761 has 27 divisors (see below), whose sum is σ = 753497527419. Its totient is φ = 543860967888.

The previous prime is 641090063753. The next prime is 641090063771. The reversal of 641090063761 is 167360090146.

The square root of 641090063761 is 800681.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 299777055361 + 341313008400 = 547519^2 + 584220^2 .

It is not a de Polignac number, because 641090063761 - 2³ = 641090063753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (641090063771) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 599709535 + ... + 599710603.

Almost surely, 2^641090063761 is an apocalyptic number.

641090063761 is the 800681-st square number.

641090063761 is the 400341-st centered octagonal number.

It is an amenable number.

641090063761 is a deficient number, since it is larger than the sum of its proper divisors (112407463658).

641090063761 is an frugal number, since it uses more digits than its factorization.

641090063761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The spelling of 641090063761 in words is "six hundred forty-one billion, ninety million, sixty-three thousand, seven hundred sixty-one".