78443858594640 has 1440 divisors, whose sum is σ = 335662875486720. Its totient is φ = 14943543552000.

The previous prime is 78443858594627. The next prime is 78443858594641. The reversal of 78443858594640 is 4649585834487.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78443858594641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2361967635 + ... + 2362000845.

It is an arithmetic number, because the mean of its divisors is an integer number (233099219088).

Almost surely, 2^{78443858594640} is an apocalyptic number.

78443858594640 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 78443858594640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167831437743360).

78443858594640 is an abundant number, since it is smaller than the sum of its proper divisors (257219016892080).

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

78443858594640 is a wasteful number, since it uses less digits than its factorization.

78443858594640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33333 (or 33289 counting only the distinct ones).

The product of its (nonzero) digits is 3715891200, while the sum is 75.

The spelling of 78443858594640 in words is "seventy-eight trillion, four hundred forty-three billion, eight hundred fifty-eight million, five hundred ninety-four thousand, six hundred forty".