84472243200 has 792 divisors, whose sum is σ = 323007298432. Its totient is φ = 21857402880.

The previous prime is 84472243199. The next prime is 84472243259. The reversal of 84472243200 is 234227448.

84472243200 is a `hidden beast` number, since 8 + 447 + 2 + 2 + 4 + 3 + 200 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 230169417 + ... + 230169783.

Almost surely, 2^84472243200 is an apocalyptic number.

84472243200 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 84472243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161503649216).

84472243200 is an abundant number, since it is smaller than the sum of its proper divisors (238535055232).

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

84472243200 is a wasteful number, since it uses less digits than its factorization.

84472243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 84472243200 in words is "eighty-four billion, four hundred seventy-two million, two hundred forty-three thousand, two hundred".