78474147840 has 1152 divisors, whose sum is σ = 319389557760. Its totient is φ = 18314035200.

The previous prime is 78474147827. The next prime is 78474147841. The reversal of 78474147840 is 4874147487.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78474147841) 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 95 ways as a sum of consecutive naturals, for example, 1286461410 + ... + 1286461470.

It is an arithmetic number, because the mean of its divisors is an integer number (277247880).

Almost surely, 2^78474147840 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 78474147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159694778880).

78474147840 is an abundant number, since it is smaller than the sum of its proper divisors (240915409920).

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

78474147840 is a wasteful number, since it uses less digits than its factorization.

78474147840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 5619712, while the sum is 54.

The spelling of 78474147840 in words is "seventy-eight billion, four hundred seventy-four million, one hundred forty-seven thousand, eight hundred forty".