84372205600 has 288 divisors, whose sum is σ = 225426196800. Its totient is φ = 30714163200.

The previous prime is 84372205553. The next prime is 84372205639. The reversal of 84372205600 is 650227348.

It is a self number, because there is not a number n which added to its sum of digits gives 84372205600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122101255 + ... + 122101945.

It is an arithmetic number, because the mean of its divisors is an integer number (782729850).

Almost surely, 2^84372205600 is an apocalyptic number.

84372205600 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 84372205600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112713098400).

84372205600 is an abundant number, since it is smaller than the sum of its proper divisors (141053991200).

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

84372205600 is a wasteful number, since it uses less digits than its factorization.

84372205600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 84372205600 in words is "eighty-four billion, three hundred seventy-two million, two hundred five thousand, six hundred".