78382707056640 has 4480 divisors, whose sum is σ = 367760467261440. Its totient is φ = 15603175784448.

The previous prime is 78382707056629. The next prime is 78382707056653. The reversal of 78382707056640 is 4665070728387.

78382707056640 is a `hidden beast` number, since 7 + 8 + 3 + 8 + 27 + 0 + 7 + 0 + 566 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a super-2 number, since 2×78382707056640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1822853652459 + ... + 1822853652501.

Almost surely, 2^{78382707056640} is an apocalyptic number.

78382707056640 is a gapful number since it is divisible by the number (70) 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 78382707056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183880233630720).

78382707056640 is an abundant number, since it is smaller than the sum of its proper divisors (289377760204800).

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

78382707056640 is an frugal number, since it uses more digits than its factorization.

78382707056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 78382707056640 in words is "seventy-eight trillion, three hundred eighty-two billion, seven hundred seven million, fifty-six thousand, six hundred forty".