8180546400 has 756 divisors, whose sum is σ = 32813516988. Its totient is φ = 1989411840.

The previous prime is 8180546393. The next prime is 8180546401. The reversal of 8180546400 is 46450818.

8180546400 is a `hidden beast` number, since 8 + 1 + 8 + 0 + 5 + 4 + 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 not an unprimeable number, because it can be changed into a prime (8180546401) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 98560759 + ... + 98560841.

It is an arithmetic number, because the mean of its divisors is an integer number (43404123).

Almost surely, 2^8180546400 is an apocalyptic number.

8180546400 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 8180546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16406758494).

8180546400 is an abundant number, since it is smaller than the sum of its proper divisors (24632970588).

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

8180546400 is a wasteful number, since it uses less digits than its factorization.

8180546400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 8180546400 is about 90446.3730616104. The cubic root of 8180546400 is about 2014.9337473881.

The spelling of 8180546400 in words is "eight billion, one hundred eighty million, five hundred forty-six thousand, four hundred".