83924726400 has 384 divisors, whose sum is σ = 311489884800. Its totient is φ = 22063104000.

The previous prime is 83924726383. The next prime is 83924726423. The reversal of 83924726400 is 462742938.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-4 number, since 4×83924726400⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 6127560 + ... + 6141240.

It is an arithmetic number, because the mean of its divisors is an integer number (811171575).

Almost surely, 2^83924726400 is an apocalyptic number.

83924726400 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 83924726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155744942400).

83924726400 is an abundant number, since it is smaller than the sum of its proper divisors (227565158400).

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

83924726400 is a wasteful number, since it uses less digits than its factorization.

83924726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13785 (or 13762 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 83924726400 in words is "eighty-three billion, nine hundred twenty-four million, seven hundred twenty-six thousand, four hundred".