84718374873600 has 1920 divisors, whose sum is σ = 324223531365888. Its totient is φ = 19339621171200.

The previous prime is 84718374873553. The next prime is 84718374873709. The reversal of 84718374873600 is 637847381748.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×84718374873600³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51127563972 + ... + 51127565628.

Almost surely, 2^{84718374873600} is an apocalyptic number.

84718374873600 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 84718374873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162111765682944).

84718374873600 is an abundant number, since it is smaller than the sum of its proper divisors (239505156492288).

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

84718374873600 is a wasteful number, since it uses less digits than its factorization.

84718374873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 66.

The spelling of 84718374873600 in words is "eighty-four trillion, seven hundred eighteen billion, three hundred seventy-four million, eight hundred seventy-three thousand, six hundred".