61447818087936 has 640 divisors, whose sum is σ = 218628921139200. Its totient is φ = 16669567549440.

The previous prime is 61447818087923. The next prime is 61447818087937. The reversal of 61447818087936 is 63978081874416.

61447818087936 is a `hidden beast` number, since 6 + 1 + 4 + 478 + 1 + 80 + 8 + 79 + 3 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61447818087937) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158796580 + ... + 159183068.

It is an arithmetic number, because the mean of its divisors is an integer number (341607689280).

Almost surely, 2^{61447818087936} 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 61447818087936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109314460569600).

61447818087936 is an abundant number, since it is smaller than the sum of its proper divisors (157181103051264).

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

61447818087936 is a wasteful number, since it uses less digits than its factorization.

61447818087936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386607 (or 386585 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 61447818087936 in words is "sixty-one trillion, four hundred forty-seven billion, eight hundred eighteen million, eighty-seven thousand, nine hundred thirty-six".