61761611336436 has 144 divisors (see below), whose sum is σ = 173315858526720. Its totient is φ = 18386009029440.

The previous prime is 61761611336419. The next prime is 61761611336437. The reversal of 61761611336436 is 63463311616716.

61761611336436 is a `hidden beast` number, since 6 + 1 + 7 + 6 + 161 + 13 + 36 + 436 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61761611336437) 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, 33757561 + ... + 35540063.

It is an arithmetic number, because the mean of its divisors is an integer number (1203582350880).

Almost surely, 2^{61761611336436} is an apocalyptic number.

61761611336436 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61761611336436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86657929263360).

61761611336436 is an abundant number, since it is smaller than the sum of its proper divisors (111554247190284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61761611336436 is a wasteful number, since it uses less digits than its factorization.

61761611336436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784066 (or 1784061 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The spelling of 61761611336436 in words is "sixty-one trillion, seven hundred sixty-one billion, six hundred eleven million, three hundred thirty-six thousand, four hundred thirty-six".