84473513600 has 768 divisors, whose sum is σ = 265183027200. Its totient is φ = 25944883200.

The previous prime is 84473513573. The next prime is 84473513609. The reversal of 84473513600 is 631537448.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (84473513609) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 820131149 + ... + 820131251.

It is an arithmetic number, because the mean of its divisors is an integer number (345290400).

Almost surely, 2^84473513600 is an apocalyptic number.

84473513600 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 84473513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132591513600).

84473513600 is an abundant number, since it is smaller than the sum of its proper divisors (180709513600).

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

84473513600 is a wasteful number, since it uses less digits than its factorization.

84473513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 84473513600 in words is "eighty-four billion, four hundred seventy-three million, five hundred thirteen thousand, six hundred".