65377947887616 has 1536 divisors, whose sum is σ = 240670202572800. Its totient is φ = 15272949841920.

The previous prime is 65377947887611. The next prime is 65377947887663. The reversal of 65377947887616 is 61678874977356.

65377947887616 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (84).

It is not an unprimeable number, because it can be changed into a prime (65377947887611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29436265386 + ... + 29436267606.

It is an arithmetic number, because the mean of its divisors is an integer number (156686329800).

Almost surely, 2^{65377947887616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65377947887616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120335101286400).

65377947887616 is an abundant number, since it is smaller than the sum of its proper divisors (175292254685184).

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

65377947887616 is a wasteful number, since it uses less digits than its factorization.

65377947887616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2445 counting only the distinct ones).

The product of its digits is 17923368960, while the sum is 84.

The spelling of 65377947887616 in words is "sixty-five trillion, three hundred seventy-seven billion, nine hundred forty-seven million, eight hundred eighty-seven thousand, six hundred sixteen".