61565363760 has 80 divisors (see below), whose sum is σ = 191171692800. Its totient is φ = 16389984000.

The previous prime is 61565363753. The next prime is 61565363767. The reversal of 61565363760 is 6736356516.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (61565363753) and next prime (61565363767).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×61565363760² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (61565363767) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 70366 + ... + 357885.

It is an arithmetic number, because the mean of its divisors is an integer number (2389646160).

Almost surely, 2^61565363760 is an apocalyptic number.

61565363760 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 61565363760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95585846400).

61565363760 is an abundant number, since it is smaller than the sum of its proper divisors (129606329040).

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

61565363760 is a wasteful number, since it uses less digits than its factorization.

61565363760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428866 (or 428860 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 48.

The spelling of 61565363760 in words is "sixty-one billion, five hundred sixty-five million, three hundred sixty-three thousand, seven hundred sixty".