78479622144 has 552 divisors, whose sum is σ = 293131483008. Its totient is φ = 20384317440.

The previous prime is 78479622139. The next prime is 78479622233. The reversal of 78479622144 is 44122697487.

78479622144 is a `hidden beast` number, since 7 + 8 + 4 + 7 + 9 + 622 + 1 + 4 + 4 = 666.

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

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 (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7134511099 + ... + 7134511109.

Almost surely, 2^78479622144 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 78479622144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146565741504).

78479622144 is an abundant number, since it is smaller than the sum of its proper divisors (214651860864).

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

78479622144 is an frugal number, since it uses more digits than its factorization.

78479622144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 23 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 78479622144 in words is "seventy-eight billion, four hundred seventy-nine million, six hundred twenty-two thousand, one hundred forty-four".