78433764192 has 72 divisors (see below), whose sum is σ = 254909740176. Its totient is φ = 22409646336.

The previous prime is 78433764163. The next prime is 78433764221. The reversal of 78433764192 is 29146733487.

78433764192 is a `hidden beast` number, since 7 + 84 + 3 + 376 + 4 + 192 = 666.

It is an interprime number because it is at equal distance from previous prime (78433764163) and next prime (78433764221).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×78433764192² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19450803 + ... + 19454834.

It is an arithmetic number, because the mean of its divisors is an integer number (3540413058).

Almost surely, 2^78433764192 is an apocalyptic number.

78433764192 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

78433764192 is an abundant number, since it is smaller than the sum of its proper divisors (176475975984).

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

78433764192 is a wasteful number, since it uses less digits than its factorization.

78433764192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38905660 (or 38905649 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 78433764192 in words is "seventy-eight billion, four hundred thirty-three million, seven hundred sixty-four thousand, one hundred ninety-two".