84268632000 has 672 divisors, whose sum is σ = 326751549696. Its totient is φ = 19079424000.

The previous prime is 84268631959. The next prime is 84268632053. The reversal of 84268632000 is 23686248.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 84268632000.

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 95 ways as a sum of consecutive naturals, for example, 154055727 + ... + 154056273.

Almost surely, 2^84268632000 is an apocalyptic number.

84268632000 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 84268632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163375774848).

84268632000 is an abundant number, since it is smaller than the sum of its proper divisors (242482917696).

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

84268632000 is a wasteful number, since it uses less digits than its factorization.

84268632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 84268632000 in words is "eighty-four billion, two hundred sixty-eight million, six hundred thirty-two thousand".