65747666880 has 1344 divisors, whose sum is σ = 289096704000. Its totient is φ = 13655900160.

The previous prime is 65747666857. The next prime is 65747666917. The reversal of 65747666880 is 8866674756.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×65747666880³ (a number of 33 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (63) 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 (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 581837704 + ... + 581837816.

Almost surely, 2^65747666880 is an apocalyptic number.

65747666880 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 65747666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144548352000).

65747666880 is an abundant number, since it is smaller than the sum of its proper divisors (223349037120).

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

65747666880 is a wasteful number, since it uses less digits than its factorization.

65747666880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 65747666880 in words is "sixty-five billion, seven hundred forty-seven million, six hundred sixty-six thousand, eight hundred eighty".