84790736471808 has 288 divisors, whose sum is σ = 251526241612800. Its totient is φ = 28175176802304.

The previous prime is 84790736471773. The next prime is 84790736471813. The reversal of 84790736471808 is 80817463709748.

84790736471808 is a `hidden beast` number, since 8 + 4 + 7 + 9 + 0 + 73 + 6 + 471 + 80 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4475144191 + ... + 4475163137.

It is an arithmetic number, because the mean of its divisors is an integer number (873355005600).

Almost surely, 2^{84790736471808} 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 84790736471808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125763120806400).

84790736471808 is an abundant number, since it is smaller than the sum of its proper divisors (166735505140992).

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

84790736471808 is a wasteful number, since it uses less digits than its factorization.

84790736471808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20964 (or 20944 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 84790736471808 in words is "eighty-four trillion, seven hundred ninety billion, seven hundred thirty-six million, four hundred seventy-one thousand, eight hundred eight".