5463936000 has 880 divisors, whose sum is σ = 22256163072. Its totient is φ = 1327104000.

The previous prime is 5463935999. The next prime is 5463936019. The reversal of 5463936000 is 6393645.

5463936000 is a `hidden beast` number, since 5 + 46 + 3 + 9 + 3 + 600 + 0 = 666.

It is a super-2 number, since 2×5463936000² = 59709193224192000000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 176255985 + ... + 176256015.

Almost surely, 2^5463936000 is an apocalyptic number.

5463936000 is a gapful number since it is divisible by the number (50) 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 5463936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11128081536).

5463936000 is an abundant number, since it is smaller than the sum of its proper divisors (16792227072).

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

5463936000 is a wasteful number, since it uses less digits than its factorization.

5463936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 5463936000 is about 73918.4415420130. The cubic root of 5463936000 is about 1761.3075682641.

The spelling of 5463936000 in words is "five billion, four hundred sixty-three million, nine hundred thirty-six thousand".