84347182080 has 1056 divisors, whose sum is σ = 353155645440. Its totient is φ = 18207866880.

The previous prime is 84347182057. The next prime is 84347182091. The reversal of 84347182080 is 8028174348.

84347182080 is a `hidden beast` number, since 8 + 434 + 7 + 1 + 8 + 208 + 0 = 666.

It is a super-2 number, since 2×84347182080² (a number of 23 digits) contains 22 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 664150977 + ... + 664151103.

Almost surely, 2^84347182080 is an apocalyptic number.

84347182080 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 84347182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176577822720).

84347182080 is an abundant number, since it is smaller than the sum of its proper divisors (268808463360).

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

84347182080 is a wasteful number, since it uses less digits than its factorization.

84347182080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 84347182080 in words is "eighty-four billion, three hundred forty-seven million, one hundred eighty-two thousand, eighty".