84242073600 has 1008 divisors, whose sum is σ = 326897085060. Its totient is φ = 21499084800.

The previous prime is 84242073599. The next prime is 84242073667. The reversal of 84242073600 is 637024248.

84242073600 is a `hidden beast` number, since 8 + 4 + 2 + 42 + 0 + 7 + 3 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 24455955456 + 59786118144 = 156384^2 + 244512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1381017570 + ... + 1381017630.

Almost surely, 2^84242073600 is an apocalyptic number.

84242073600 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 84242073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163448542530).

84242073600 is an abundant number, since it is smaller than the sum of its proper divisors (242655011460).

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

84242073600 is an equidigital number, since it uses as much as digits as its factorization.

84242073600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 84242073600 its reverse (637024248), we get a palindrome (84879097848).

The spelling of 84242073600 in words is "eighty-four billion, two hundred forty-two million, seventy-three thousand, six hundred".