84030486400 has 192 divisors, whose sum is σ = 237754068480. Its totient is φ = 28747560960.

The previous prime is 84030486373. The next prime is 84030486403. The reversal of 84030486400 is 468403048.

It is a super-2 number, since 2×84030486400² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84030486400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84030486403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10904949 + ... + 10912651.

It is an arithmetic number, because the mean of its divisors is an integer number (1238302440).

Almost surely, 2^84030486400 is an apocalyptic number.

84030486400 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 84030486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118877034240).

84030486400 is an abundant number, since it is smaller than the sum of its proper divisors (153723582080).

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

84030486400 is a wasteful number, since it uses less digits than its factorization.

84030486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8221 (or 8204 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

Adding to 84030486400 its reverse (468403048), we get a palindrome (84498889448).

The spelling of 84030486400 in words is "eighty-four billion, thirty million, four hundred eighty-six thousand, four hundred".