8049326400 has 588 divisors, whose sum is σ = 30431813152. Its totient is φ = 2093921280.

The previous prime is 8049326393. The next prime is 8049326419. The reversal of 8049326400 is 46239408.

It is a happy number.

8049326400 is a `hidden beast` number, since 8 + 0 + 4 + 9 + 3 + 2 + 640 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 78148749 + ... + 78148851.

Almost surely, 2^8049326400 is an apocalyptic number.

8049326400 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 8049326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15215906576).

8049326400 is an abundant number, since it is smaller than the sum of its proper divisors (22382486752).

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

8049326400 is a wasteful number, since it uses less digits than its factorization.

8049326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 8049326400 is about 89718.0383200614. The cubic root of 8049326400 is about 2004.1021139118.

The spelling of 8049326400 in words is "eight billion, forty-nine million, three hundred twenty-six thousand, four hundred".