6359868900 has 756 divisors, whose sum is σ = 26245500736. Its totient is φ = 1308700800.

The previous prime is 6359868869. The next prime is 6359868919. The reversal of 6359868900 is 98689536.

It is a tau number, because it is divible by the number of its divisors (756).

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 (19) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 61746249 + ... + 61746351.

Almost surely, 2^6359868900 is an apocalyptic number.

6359868900 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 6359868900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13122750368).

6359868900 is an abundant number, since it is smaller than the sum of its proper divisors (19885631836).

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

6359868900 is a wasteful number, since it uses less digits than its factorization.

6359868900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 6359868900 is about 79748.7861976595. The cubic root of 6359868900 is about 1852.7467258132.

The spelling of 6359868900 in words is "six billion, three hundred fifty-nine million, eight hundred sixty-eight thousand, nine hundred".