62640578961 has 15 divisors (see below), whose sum is σ = 93577563211. Its totient is φ = 41758884288.

The previous prime is 62640578899. The next prime is 62640579013. The reversal of 62640578961 is 16987504626.

The square root of 62640578961 is 250281.

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

62640578961 is a `hidden beast` number, since 6 + 2 + 6 + 4 + 0 + 578 + 9 + 61 = 666.

62640578961 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 only one way, i.e., 44318249361 + 18322329600 = 210519^2 + 135360^2 .

It is not a de Polignac number, because 62640578961 - 2¹⁵ = 62640546193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 62640578898 and 62640578907.

It is not an unprimeable number, because it can be changed into a prime (62640570961) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2238625 + ... + 2266433.

Almost surely, 2^62640578961 is an apocalyptic number.

62640578961 is the 250281-st square number.

62640578961 is the 125141-st centered octagonal number.

It is an amenable number.

62640578961 is a deficient number, since it is larger than the sum of its proper divisors (30936984250).

62640578961 is an frugal number, since it uses more digits than its factorization.

62640578961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55630 (or 27812 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

It can be divided in two parts, 62640 and 578961, that added together give a square (641601 = 801²).

The spelling of 62640578961 in words is "sixty-two billion, six hundred forty million, five hundred seventy-eight thousand, nine hundred sixty-one".