61824881664 has 440 divisors, whose sum is σ = 227253813248. Its totient is φ = 16303472640.

The previous prime is 61824881647. The next prime is 61824881771. The reversal of 61824881664 is 46618842816.

It is a happy number.

61824881664 is a `hidden beast` number, since 618 + 2 + 4 + 8 + 8 + 16 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 61824881664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7543809 + ... + 7551999.

Almost surely, 2^61824881664 is an apocalyptic number.

61824881664 is a gapful number since it is divisible by the number (64) 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 61824881664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113626906624).

61824881664 is an abundant number, since it is smaller than the sum of its proper divisors (165428931584).

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

61824881664 is a wasteful number, since it uses less digits than its factorization.

61824881664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8243 (or 8216 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 61824881664 in words is "sixty-one billion, eight hundred twenty-four million, eight hundred eighty-one thousand, six hundred sixty-four".