6536678400 has 792 divisors, whose sum is σ = 28068300240. Its totient is φ = 1486356480.

The previous prime is 6536678399. The next prime is 6536678431. The reversal of 6536678400 is 48766356.

6536678400 is a `hidden beast` number, since 6 + 536 + 6 + 78 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33868704 + ... + 33868896.

Almost surely, 2^6536678400 is an apocalyptic number.

6536678400 is a gapful number since it is divisible by the number (60) 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 6536678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14034150120).

6536678400 is an abundant number, since it is smaller than the sum of its proper divisors (21531621840).

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

6536678400 is a wasteful number, since it uses less digits than its factorization.

6536678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 6536678400 is about 80849.7272722673. The cubic root of 6536678400 is about 1869.7593177803.

The spelling of 6536678400 in words is "six billion, five hundred thirty-six million, six hundred seventy-eight thousand, four hundred".