78624000000000 has 2400 divisors, whose sum is σ = 358389025800960. Its totient is φ = 16588800000000.

The previous prime is 78623999999959. The next prime is 78624000000071. The reversal of 78624000000000 is 42687.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6047999999994 + ... + 6048000000006.

Almost surely, 2^{78624000000000} is an apocalyptic number.

78624000000000 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 78624000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179194512900480).

78624000000000 is an abundant number, since it is smaller than the sum of its proper divisors (279765025800960).

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

78624000000000 is an frugal number, since it uses more digits than its factorization.

78624000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 78624000000000 its reverse (42687), we get a palindrome (78624000042687).

The spelling of 78624000000000 in words is "seventy-eight trillion, six hundred twenty-four billion", and thus it is an aban number.