6229058468400 has 300 divisors, whose sum is σ = 23126476916400. Its totient is φ = 1603803317760.

The previous prime is 6229058468293. The next prime is 6229058468627. The reversal of 6229058468400 is 48648509226.

6229058468400 is a `hidden beast` number, since 6 + 2 + 2 + 90 + 58 + 468 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2375140 + ... + 4254339.

It is an arithmetic number, because the mean of its divisors is an integer number (77088256388).

Almost surely, 2^{6229058468400} is an apocalyptic number.

6229058468400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6229058468400 is an abundant number, since it is smaller than the sum of its proper divisors (16897418448000).

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

6229058468400 is a wasteful number, since it uses less digits than its factorization.

6229058468400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6629538 (or 6629518 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 6229058468400 in words is "six trillion, two hundred twenty-nine billion, fifty-eight million, four hundred sixty-eight thousand, four hundred".