65378599303680 has 3520 divisors, whose sum is σ = 284965388547840. Its totient is φ = 14210035089408.

The previous prime is 65378599303673. The next prime is 65378599303711. The reversal of 65378599303680 is 8630399587356.

65378599303680 is a `hidden beast` number, since 6 + 537 + 8 + 5 + 9 + 9 + 3 + 0 + 3 + 6 + 80 = 666.

65378599303680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×65378599303680² (a number of 28 digits) contains 22 as substring.

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 = 65378599303599 and 65378599303608.

It is an unprimeable number.

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 351 ways as a sum of consecutive naturals, for example, 634743682509 + ... + 634743682611.

It is an arithmetic number, because the mean of its divisors is an integer number (80956076292).

Almost surely, 2^{65378599303680} is an apocalyptic number.

65378599303680 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 65378599303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142482694273920).

65378599303680 is an abundant number, since it is smaller than the sum of its proper divisors (219586789244160).

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

65378599303680 is a wasteful number, since it uses less digits than its factorization.

65378599303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 65378599303680 in words is "sixty-five trillion, three hundred seventy-eight billion, five hundred ninety-nine million, three hundred three thousand, six hundred eighty".