61663776480 has 1152 divisors, whose sum is σ = 249080832000. Its totient is φ = 13795246080.

The previous prime is 61663776479. The next prime is 61663776497. The reversal of 61663776480 is 8467736616.

61663776480 is a `hidden beast` number, since 6 + 1 + 66 + 37 + 76 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 565722666 + ... + 565722774.

It is an arithmetic number, because the mean of its divisors is an integer number (216216000).

Almost surely, 2^61663776480 is an apocalyptic number.

61663776480 is a gapful number since it is divisible by the number (60) 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 61663776480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124540416000).

61663776480 is an abundant number, since it is smaller than the sum of its proper divisors (187417055520).

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

61663776480 is a wasteful number, since it uses less digits than its factorization.

61663776480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 61663776480 in words is "sixty-one billion, six hundred sixty-three million, seven hundred seventy-six thousand, four hundred eighty".