6217948800 has 960 divisors, whose sum is σ = 27547344000. Its totient is φ = 1350328320.

The previous prime is 6217948799. The next prime is 6217948831. The reversal of 6217948800 is 88497126.

It is a tau number, because it is divible by the number of its divisors (960).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 41731126 + ... + 41731274.

It is an arithmetic number, because the mean of its divisors is an integer number (28695150).

Almost surely, 2^6217948800 is an apocalyptic number.

6217948800 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 6217948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13773672000).

6217948800 is an abundant number, since it is smaller than the sum of its proper divisors (21329395200).

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

6217948800 is a wasteful number, since it uses less digits than its factorization.

6217948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 6217948800 is about 78853.9713647956. The cubic root of 6217948800 is about 1838.8616146809.

The spelling of 6217948800 in words is "six billion, two hundred seventeen million, nine hundred forty-eight thousand, eight hundred".