78018700032 has 1296 divisors, whose sum is σ = 309160968480. Its totient is φ = 18678546432.

The previous prime is 78018699989. The next prime is 78018700033. The reversal of 78018700032 is 23000781087.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 78018700032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78018700033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1322350819 + ... + 1322350877.

It is an arithmetic number, because the mean of its divisors is an integer number (238550130).

Almost surely, 2^78018700032 is an apocalyptic number.

78018700032 is a gapful number since it is divisible by the number (72) 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 78018700032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154580484240).

78018700032 is an abundant number, since it is smaller than the sum of its proper divisors (231142268448).

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

78018700032 is a wasteful number, since it uses less digits than its factorization.

78018700032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 78018700032 in words is "seventy-eight billion, eighteen million, seven hundred thousand, thirty-two".