78214484736 has 144 divisors (see below), whose sum is σ = 232682419200. Its totient is φ = 25914995712.

The previous prime is 78214484717. The next prime is 78214484753. The reversal of 78214484736 is 63748441287.

78214484736 is a `hidden beast` number, since 7 + 82 + 14 + 484 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×78214484736² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1120425 + ... + 1188183.

Almost surely, 2^78214484736 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 78214484736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116341209600).

78214484736 is an abundant number, since it is smaller than the sum of its proper divisors (154467934464).

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

78214484736 is a wasteful number, since it uses less digits than its factorization.

78214484736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67951 (or 67931 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 78214484736 in words is "seventy-eight billion, two hundred fourteen million, four hundred eighty-four thousand, seven hundred thirty-six".