84348766080 has 192 divisors, whose sum is σ = 292480222320. Its totient is φ = 22399303680.

The previous prime is 84348766043. The next prime is 84348766081. The reversal of 84348766080 is 8066784348.

84348766080 is a `hidden beast` number, since 8 + 434 + 8 + 76 + 60 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×84348766080² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84348766081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1357779 + ... + 1418541.

Almost surely, 2^84348766080 is an apocalyptic number.

84348766080 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 84348766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240111160).

84348766080 is an abundant number, since it is smaller than the sum of its proper divisors (208131456240).

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

84348766080 is a wasteful number, since it uses less digits than its factorization.

84348766080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61029 (or 61014 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 84348766080 in words is "eighty-four billion, three hundred forty-eight million, seven hundred sixty-six thousand, eighty".