83704127263680 has 448 divisors, whose sum is σ = 331404871311360. Its totient is φ = 17389549670400.

The previous prime is 83704127263633. The next prime is 83704127263699. The reversal of 83704127263680 is 8636272140738.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 83704127263680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 373849365 + ... + 374073195.

It is an arithmetic number, because the mean of its divisors is an integer number (739743016320).

Almost surely, 2^{83704127263680} is an apocalyptic number.

83704127263680 is a gapful number since it is divisible by the number (80) 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 83704127263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165702435655680).

83704127263680 is an abundant number, since it is smaller than the sum of its proper divisors (247700744047680).

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

83704127263680 is a wasteful number, since it uses less digits than its factorization.

83704127263680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228928 (or 228918 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 57.

The spelling of 83704127263680 in words is "eighty-three trillion, seven hundred four billion, one hundred twenty-seven million, two hundred sixty-three thousand, six hundred eighty".