61646360000 has 140 divisors (see below), whose sum is σ = 154386549240. Its totient is φ = 24412800000.

The previous prime is 61646359991. The next prime is 61646360003. The reversal of 61646360000 is 6364616.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61646360003) 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 19 ways as a sum of consecutive naturals, for example, 4032371 + ... + 4047629.

It is an arithmetic number, because the mean of its divisors is an integer number (1102761066).

Almost surely, 2^61646360000 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 61646360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77193274620).

61646360000 is an abundant number, since it is smaller than the sum of its proper divisors (92740189240).

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

61646360000 is a wasteful number, since it uses less digits than its factorization.

61646360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15392 (or 15367 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The spelling of 61646360000 in words is "sixty-one billion, six hundred forty-six million, three hundred sixty thousand".