78721667002368 has 1872 divisors, whose sum is σ = 270733303503936. Its totient is φ = 22703033548800.

The previous prime is 78721667002361. The next prime is 78721667002393. The reversal of 78721667002368 is 86320076612787.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78721667002361) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 779422445518 + ... + 779422445618.

It is an arithmetic number, because the mean of its divisors is an integer number (144622491188).

Almost surely, 2^{78721667002368} is an apocalyptic number.

78721667002368 is a gapful number since it is divisible by the number (78) 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 78721667002368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135366651751968).

78721667002368 is an abundant number, since it is smaller than the sum of its proper divisors (192011636501568).

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

78721667002368 is an equidigital number, since it uses as much as digits as its factorization.

78721667002368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 78721667002368 in words is "seventy-eight trillion, seven hundred twenty-one billion, six hundred sixty-seven million, two thousand, three hundred sixty-eight".