61736609797632 has 960 divisors, whose sum is σ = 240385918316544. Its totient is φ = 15338233405440.

The previous prime is 61736609797601. The next prime is 61736609797697. The reversal of 61736609797632 is 23679790663716.

61736609797632 is a `hidden beast` number, since 6 + 1 + 7 + 3 + 6 + 609 + 7 + 9 + 7 + 6 + 3 + 2 = 666.

It is a super-2 number, since 2×61736609797632² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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, 220200643 + ... + 220480829.

Almost surely, 2^{61736609797632} 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 61736609797632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120192959158272).

61736609797632 is an abundant number, since it is smaller than the sum of its proper divisors (178649308518912).

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

61736609797632 is a wasteful number, since it uses less digits than its factorization.

61736609797632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280261 (or 280233 counting only the distinct ones).

The product of its (nonzero) digits is 648121824, while the sum is 72.

The spelling of 61736609797632 in words is "sixty-one trillion, seven hundred thirty-six billion, six hundred nine million, seven hundred ninety-seven thousand, six hundred thirty-two".