65977680384 has 960 divisors, whose sum is σ = 252235855872. Its totient is φ = 16721510400.

The previous prime is 65977680359. The next prime is 65977680487. The reversal of 65977680384 is 48308677956.

65977680384 is a `hidden beast` number, since 6 + 597 + 7 + 6 + 8 + 0 + 38 + 4 = 666.

It is a super-3 number, since 3×65977680384³ (a number of 33 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 680182224 + ... + 680182320.

Almost surely, 2^65977680384 is an apocalyptic number.

65977680384 is a gapful number since it is divisible by the number (64) 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 65977680384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126117927936).

65977680384 is an abundant number, since it is smaller than the sum of its proper divisors (186258175488).

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

65977680384 is an equidigital number, since it uses as much as digits as its factorization.

65977680384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 65977680384 in words is "sixty-five billion, nine hundred seventy-seven million, six hundred eighty thousand, three hundred eighty-four".