78721818624000 has 2720 divisors, whose sum is σ = 313517469957120. Its totient is φ = 19619905536000.

The previous prime is 78721818623963. The next prime is 78721818624017. The reversal of 78721818624000 is 42681812787.

78721818624000 is a `hidden beast` number, since 7 + 8 + 7 + 2 + 1 + 8 + 1 + 8 + 624 + 0 + 0 + 0 = 666.

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

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, 884514815956 + ... + 884514816044.

Almost surely, 2^{78721818624000} 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 78721818624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156758734978560).

78721818624000 is an abundant number, since it is smaller than the sum of its proper divisors (234795651333120).

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

78721818624000 is an frugal number, since it uses more digits than its factorization.

78721818624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 78721818624000 in words is "seventy-eight trillion, seven hundred twenty-one billion, eight hundred eighteen million, six hundred twenty-four thousand".