84675057600 has 504 divisors, whose sum is σ = 325184798448. Its totient is φ = 19233177600.

The previous prime is 84675057581. The next prime is 84675057647. The reversal of 84675057600 is 675057648.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 84675057600.

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 71 ways as a sum of consecutive naturals, for example, 40688560 + ... + 40690640.

Almost surely, 2^84675057600 is an apocalyptic number.

84675057600 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 84675057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162592399224).

84675057600 is an abundant number, since it is smaller than the sum of its proper divisors (240509740848).

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

84675057600 is a wasteful number, since it uses less digits than its factorization.

84675057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

Adding to 84675057600 its sum of digits (48), we get a palindrome (84675057648).

The spelling of 84675057600 in words is "eighty-four billion, six hundred seventy-five million, fifty-seven thousand, six hundred".