84469724160000 has 1120 divisors, whose sum is σ = 289935439960320. Its totient is φ = 21857206272000.

The previous prime is 84469724159983. The next prime is 84469724160001. The reversal of 84469724160000 is 6142796448.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (84469724160001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75217919439 + ... + 75217920561.

It is an arithmetic number, because the mean of its divisors is an integer number (258870928536).

Almost surely, 2^{84469724160000} is an apocalyptic number.

84469724160000 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 84469724160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144967719980160).

84469724160000 is an abundant number, since it is smaller than the sum of its proper divisors (205465715800320).

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

84469724160000 is an equidigital number, since it uses as much as digits as its factorization.

84469724160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 84469724160000 in words is "eighty-four trillion, four hundred sixty-nine billion, seven hundred twenty-four million, one hundred sixty thousand".