84678686820 has 384 divisors, whose sum is σ = 329746636800. Its totient is φ = 17562852864.

The previous prime is 84678686797. The next prime is 84678686837. The reversal of 84678686820 is 2868687648.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2884657 + ... + 2913863.

It is an arithmetic number, because the mean of its divisors is an integer number (858715200).

Almost surely, 2^84678686820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84678686820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164873318400).

84678686820 is an abundant number, since it is smaller than the sum of its proper divisors (245067949980).

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

84678686820 is a wasteful number, since it uses less digits than its factorization.

84678686820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29304 (or 29296 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 84678686820 in words is "eighty-four billion, six hundred seventy-eight million, six hundred eighty-six thousand, eight hundred twenty".