61575482666880 has 6144 divisors, whose sum is σ = 298277868994560. Its totient is φ = 11351516774400.

The previous prime is 61575482666839. The next prime is 61575482666891. The reversal of 61575482666880 is 8866628457516.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 61575482666799 and 61575482666808.

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 767 ways as a sum of consecutive naturals, for example, 843499762524 + ... + 843499762596.

It is an arithmetic number, because the mean of its divisors is an integer number (48547830240).

Almost surely, 2^{61575482666880} is an apocalyptic number.

61575482666880 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 61575482666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149138934497280).

61575482666880 is an abundant number, since it is smaller than the sum of its proper divisors (236702386327680).

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

61575482666880 is a wasteful number, since it uses less digits than its factorization.

61575482666880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 61575482666880 in words is "sixty-one trillion, five hundred seventy-five billion, four hundred eighty-two million, six hundred sixty-six thousand, eight hundred eighty".