65518977363264 has 392 divisors, whose sum is σ = 196637730350880. Its totient is φ = 21649061071872.

The previous prime is 65518977363247. The next prime is 65518977363277. The reversal of 65518977363264 is 46236377981556.

It is a happy number.

65518977363264 is a `hidden beast` number, since 6 + 5 + 518 + 9 + 7 + 73 + 6 + 32 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 65518977363192 and 65518977363201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4390462107 + ... + 4390477029.

It is an arithmetic number, because the mean of its divisors is an integer number (501626863140).

Almost surely, 2^{65518977363264} is an apocalyptic number.

65518977363264 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 65518977363264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98318865175440).

65518977363264 is an abundant number, since it is smaller than the sum of its proper divisors (131118752987616).

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

65518977363264 is a wasteful number, since it uses less digits than its factorization.

65518977363264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15769 (or 15744 counting only the distinct ones).

The product of its digits is 1371686400, while the sum is 72.

The spelling of 65518977363264 in words is "sixty-five trillion, five hundred eighteen billion, nine hundred seventy-seven million, three hundred sixty-three thousand, two hundred sixty-four".