84671915328 has 1568 divisors, whose sum is σ = 354467769600. Its totient is φ = 19752284160.

The previous prime is 84671915269. The next prime is 84671915353. The reversal of 84671915328 is 82351917648.

84671915328 is a `hidden beast` number, since 8 + 467 + 1 + 9 + 153 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1568).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2903040) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2288430126 + ... + 2288430162.

Almost surely, 2^84671915328 is an apocalyptic number.

84671915328 is a gapful number since it is divisible by the number (88) 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 84671915328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177233884800).

84671915328 is an abundant number, since it is smaller than the sum of its proper divisors (269795854272).

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

84671915328 is a wasteful number, since it uses less digits than its factorization.

84671915328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 73 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

It can be divided in two parts, 84671 and 915328, that added together give a palindrome (999999).

The spelling of 84671915328 in words is "eighty-four billion, six hundred seventy-one million, nine hundred fifteen thousand, three hundred twenty-eight".