8136806400 has 546 divisors, whose sum is σ = 30528921830. Its totient is φ = 2149908480.

The previous prime is 8136806389. The next prime is 8136806417. The reversal of 8136806400 is 46086318.

It is a happy number.

8136806400 is a `hidden beast` number, since 8 + 1 + 3 + 6 + 8 + 0 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 967458816 + 7169347584 = 31104^2 + 84672^2 .

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 polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 74649546 + ... + 74649654.

Almost surely, 2^8136806400 is an apocalyptic number.

8136806400 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 8136806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15264460915).

8136806400 is an abundant number, since it is smaller than the sum of its proper divisors (22392115430).

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

8136806400 is an equidigital number, since it uses as much as digits as its factorization.

8136806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8136806400 is about 90204.2482369872. The cubic root of 8136806400 is about 2011.3361576983.

The spelling of 8136806400 in words is "eight billion, one hundred thirty-six million, eight hundred six thousand, four hundred".