84918758071680 has 4608 divisors, whose sum is σ = 372259228723200. Its totient is φ = 18344611676160.

The previous prime is 84918758071633. The next prime is 84918758071709. The reversal of 84918758071680 is 8617085781948.

84918758071680 is a `hidden beast` number, since 8 + 491 + 8 + 7 + 5 + 8 + 0 + 71 + 68 + 0 = 666.

It is a super-2 number, since 2×84918758071680² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 84918758071599 and 84918758071608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 954143349076 + ... + 954143349164.

It is an arithmetic number, because the mean of its divisors is an integer number (80785422900).

Almost surely, 2^{84918758071680} is an apocalyptic number.

84918758071680 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 84918758071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186129614361600).

84918758071680 is an abundant number, since it is smaller than the sum of its proper divisors (287340470651520).

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

84918758071680 is a wasteful number, since it uses less digits than its factorization.

84918758071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 72.

The spelling of 84918758071680 in words is "eighty-four trillion, nine hundred eighteen billion, seven hundred fifty-eight million, seventy-one thousand, six hundred eighty".