61736423616 has 672 divisors, whose sum is σ = 220825405440. Its totient is φ = 16558940160.

The previous prime is 61736423611. The next prime is 61736423629. The reversal of 61736423616 is 61632463716.

61736423616 is a `hidden beast` number, since 6 + 1 + 7 + 3 + 6 + 4 + 23 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×61736423616² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61736423611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 546339976 + ... + 546340088.

Almost surely, 2^61736423616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61736423616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110412702720).

61736423616 is an abundant number, since it is smaller than the sum of its proper divisors (159088981824).

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

61736423616 is a wasteful number, since it uses less digits than its factorization.

61736423616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 203 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The spelling of 61736423616 in words is "sixty-one billion, seven hundred thirty-six million, four hundred twenty-three thousand, six hundred sixteen".