84723350400 has 720 divisors, whose sum is σ = 330683793960. Its totient is φ = 20652503040.

The previous prime is 84723350359. The next prime is 84723350401. The reversal of 84723350400 is 405332748.

It is a happy number.

84723350400 is a `hidden beast` number, since 84 + 72 + 3 + 3 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×84723350400² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84723350401) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 822556749 + ... + 822556851.

Almost surely, 2^84723350400 is an apocalyptic number.

84723350400 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 84723350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165341896980).

84723350400 is an abundant number, since it is smaller than the sum of its proper divisors (245960443560).

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

84723350400 is a wasteful number, since it uses less digits than its factorization.

84723350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 84723350400 in words is "eighty-four billion, seven hundred twenty-three million, three hundred fifty thousand, four hundred".