78495832719360 has 1200 divisors, whose sum is σ = 323040294472896. Its totient is φ = 17862437634048.

The previous prime is 78495832719319. The next prime is 78495832719419. The reversal of 78495832719360 is 6391723859487.

78495832719360 is a `hidden beast` number, since 7 + 8 + 4 + 9 + 58 + 327 + 193 + 60 = 666.

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 10822529494 + ... + 10822536746.

It is a 2-persistent number, because it is pandigital, and so is 2⋅78495832719360 = 156991665438720, but 3⋅78495832719360 = 235487498158080 is not.

Almost surely, 2^{78495832719360} is an apocalyptic number.

78495832719360 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 78495832719360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161520147236448).

78495832719360 is an abundant number, since it is smaller than the sum of its proper divisors (244544461753536).

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

78495832719360 is an equidigital number, since it uses as much as digits as its factorization.

78495832719360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7538 (or 7503 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 78495832719360 in words is "seventy-eight trillion, four hundred ninety-five billion, eight hundred thirty-two million, seven hundred nineteen thousand, three hundred sixty".