84272348160 has 2640 divisors, whose sum is σ = 426933128160. Its totient is φ = 15606743040.

The previous prime is 84272348123. The next prime is 84272348179. The reversal of 84272348160 is 6184327248.

It is a happy number.

84272348160 is a `hidden beast` number, since 8 + 42 + 72 + 3 + 481 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a super-3 number, since 3×84272348160³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 239 ways as a sum of consecutive naturals, for example, 2905943026 + ... + 2905943054.

It is an arithmetic number, because the mean of its divisors is an integer number (161717094).

Almost surely, 2^84272348160 is an apocalyptic number.

84272348160 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 84272348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213466564080).

84272348160 is an abundant number, since it is smaller than the sum of its proper divisors (342660780000).

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

84272348160 is a wasteful number, since it uses less digits than its factorization.

84272348160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 84272348160 in words is "eighty-four billion, two hundred seventy-two million, three hundred forty-eight thousand, one hundred sixty".