65761800960 has 288 divisors, whose sum is σ = 213701181120. Its totient is φ = 17232297984.

The previous prime is 65761800943. The next prime is 65761800991. The reversal of 65761800960 is 6900816756.

It is a super-2 number, since 2×65761800960² (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 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 31 ways as a sum of consecutive naturals, for example, 65959182 + ... + 65960178.

It is an arithmetic number, because the mean of its divisors is an integer number (742017990).

Almost surely, 2^65761800960 is an apocalyptic number.

65761800960 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 65761800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106850590560).

65761800960 is an abundant number, since it is smaller than the sum of its proper divisors (147939380160).

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

65761800960 is a wasteful number, since it uses less digits than its factorization.

65761800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 65761800960 in words is "sixty-five billion, seven hundred sixty-one million, eight hundred thousand, nine hundred sixty".