84943427272704 has 4896 divisors, whose sum is σ = 378003898644480. Its totient is φ = 18549728870400.

The previous prime is 84943427272667. The next prime is 84943427272757. The reversal of 84943427272704 is 40727272434948.

84943427272704 is a `hidden beast` number, since 8 + 4 + 94 + 3 + 4 + 272 + 7 + 270 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (4896).

It is a super-3 number, since 3×84943427272704³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 2740110557169 + ... + 2740110557199.

Almost surely, 2^{84943427272704} is an apocalyptic number.

84943427272704 is a gapful number since it is divisible by the number (84) 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 84943427272704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189001949322240).

84943427272704 is an abundant number, since it is smaller than the sum of its proper divisors (293060471371776).

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

84943427272704 is a wasteful number, since it uses less digits than its factorization.

84943427272704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 63.

The spelling of 84943427272704 in words is "eighty-four trillion, nine hundred forty-three billion, four hundred twenty-seven million, two hundred seventy-two thousand, seven hundred four".