8492121600 has 480 divisors, whose sum is σ = 29693516160. Its totient is φ = 2136637440.

The previous prime is 8492121587. The next prime is 8492121601. The reversal of 8492121600 is 61212948.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×8492121600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8492121601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61094331 + ... + 61094469.

It is an arithmetic number, because the mean of its divisors is an integer number (61861492).

Almost surely, 2^8492121600 is an apocalyptic number.

8492121600 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 8492121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14846758080).

8492121600 is an abundant number, since it is smaller than the sum of its proper divisors (21201394560).

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

8492121600 is a wasteful number, since it uses less digits than its factorization.

8492121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 8492121600 is about 92152.7080448535. The cubic root of 8492121600 is about 2040.1968283749.

The spelling of 8492121600 in words is "eight billion, four hundred ninety-two million, one hundred twenty-one thousand, six hundred".