4893696000 has 560 divisors, whose sum is σ = 18554730480. Its totient is φ = 1282867200.

The previous prime is 4893695987. The next prime is 4893696029. The reversal of 4893696000 is 6963984.

4893696000 is a `hidden beast` number, since 4 + 8 + 9 + 36 + 9 + 600 + 0 = 666.

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 82943971 + ... + 82944029.

Almost surely, 2^4893696000 is an apocalyptic number.

4893696000 is a gapful number since it is divisible by the number (40) 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 4893696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9277365240).

4893696000 is an abundant number, since it is smaller than the sum of its proper divisors (13661034480).

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

4893696000 is an frugal number, since it uses more digits than its factorization.

4893696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 4893696000 is about 69954.9569365888. The cubic root of 4893696000 is about 1697.7705492252.

The spelling of 4893696000 in words is "four billion, eight hundred ninety-three million, six hundred ninety-six thousand".