5868676800 has 420 divisors, whose sum is σ = 24657273520. Its totient is φ = 1341204480.

The previous prime is 5868676783. The next prime is 5868676859. The reversal of 5868676800 is 86768685.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 903966 + ... + 910434.

Almost surely, 2^5868676800 is an apocalyptic number.

5868676800 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 5868676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12328636760).

5868676800 is an abundant number, since it is smaller than the sum of its proper divisors (18788596720).

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

5868676800 is a wasteful number, since it uses less digits than its factorization.

5868676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6510 (or 6486 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 5868676800 is about 76607.2894703892. The cubic root of 5868676800 is about 1803.7654508296.

The spelling of 5868676800 in words is "five billion, eight hundred sixty-eight million, six hundred seventy-six thousand, eight hundred".