84939079680 has 1024 divisors, whose sum is σ = 373455129600. Its totient is φ = 17836277760.

The previous prime is 84939079661. The next prime is 84939079681. The reversal of 84939079680 is 8697093948.

84939079680 is a `hidden beast` number, since 84 + 9 + 390 + 7 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84939079681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 402554775 + ... + 402554985.

It is an arithmetic number, because the mean of its divisors is an integer number (364702275).

Almost surely, 2^84939079680 is an apocalyptic number.

84939079680 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 84939079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186727564800).

84939079680 is an abundant number, since it is smaller than the sum of its proper divisors (288516049920).

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

84939079680 is a wasteful number, since it uses less digits than its factorization.

84939079680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 84939079680 in words is "eighty-four billion, nine hundred thirty-nine million, seventy-nine thousand, six hundred eighty".