61632663813 has 48 divisors (see below), whose sum is σ = 102111308416. Its totient is φ = 35091377280.

The previous prime is 61632663803. The next prime is 61632663871. The reversal of 61632663813 is 31836623616.

61632663813 is a `hidden beast` number, since 6 + 1 + 6 + 3 + 2 + 6 + 638 + 1 + 3 = 666.

61632663813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61632663813 - 2⁸ = 61632663557 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61632663803) 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, 24981606 + ... + 24984072.

Almost surely, 2^61632663813 is an apocalyptic number.

61632663813 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

61632663813 is a deficient number, since it is larger than the sum of its proper divisors (40478644603).

61632663813 is a wasteful number, since it uses less digits than its factorization.

61632663813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754 (or 3751 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The spelling of 61632663813 in words is "sixty-one billion, six hundred thirty-two million, six hundred sixty-three thousand, eight hundred thirteen".