84464057200 has 240 divisors, whose sum is σ = 213695894016. Its totient is φ = 32049561600.

The previous prime is 84464057177. The next prime is 84464057263. The reversal of 84464057200 is 275046448.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 131768880 + ... + 131769520.

Almost surely, 2^84464057200 is an apocalyptic number.

84464057200 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 84464057200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106847947008).

84464057200 is an abundant number, since it is smaller than the sum of its proper divisors (129231836816).

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

84464057200 is a wasteful number, since it uses less digits than its factorization.

84464057200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 84464057200 in words is "eighty-four billion, four hundred sixty-four million, fifty-seven thousand, two hundred".