84643641600 has 432 divisors, whose sum is σ = 321647829888. Its totient is φ = 19201720320.

The previous prime is 84643641571. The next prime is 84643641611. The reversal of 84643641600 is 614634648.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18410502 + ... + 18415098.

Almost surely, 2^84643641600 is an apocalyptic number.

84643641600 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 84643641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160823914944).

84643641600 is an abundant number, since it is smaller than the sum of its proper divisors (237004188288).

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

84643641600 is a wasteful number, since it uses less digits than its factorization.

84643641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4770 (or 4751 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 84643641600 in words is "eighty-four billion, six hundred forty-three million, six hundred forty-one thousand, six hundred".