65536876800 has 972 divisors, whose sum is σ = 258954981376. Its totient is φ = 15792537600.

The previous prime is 65536876799. The next prime is 65536876819. The reversal of 65536876800 is 867863556.

65536876800 is a `hidden beast` number, since 6 + 553 + 6 + 8 + 7 + 6 + 80 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 516038337 + ... + 516038463.

Almost surely, 2^65536876800 is an apocalyptic number.

65536876800 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 65536876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129477490688).

65536876800 is an abundant number, since it is smaller than the sum of its proper divisors (193418104576).

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

65536876800 is a wasteful number, since it uses less digits than its factorization.

65536876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 65536876800 in words is "sixty-five billion, five hundred thirty-six million, eight hundred seventy-six thousand, eight hundred".