61817333760 has 1512 divisors, whose sum is σ = 280124609310. Its totient is φ = 13042778112.

The previous prime is 61817333741. The next prime is 61817333761. The reversal of 61817333760 is 6733371816.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 26665583616 + 35151750144 = 163296^2 + 187488^2 .

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (61817333761) by changing a digit.

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 125 ways as a sum of consecutive naturals, for example, 4755179514 + ... + 4755179526.

Almost surely, 2^61817333760 is an apocalyptic number.

61817333760 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 61817333760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140062304655).

61817333760 is an abundant number, since it is smaller than the sum of its proper divisors (218307275550).

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

61817333760 is an equidigital number, since it uses as much as digits as its factorization.

61817333760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 61817333760 in words is "sixty-one billion, eight hundred seventeen million, three hundred thirty-three thousand, seven hundred sixty".