6419409975 has 252 divisors, whose sum is σ = 13627471536. Its totient is φ = 2993760000.

The previous prime is 6419409949. The next prime is 6419409991. The reversal of 6419409975 is 5799049146.

It is a happy number.

It is not a de Polignac number, because 6419409975 - 2⁶ = 6419409911 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 90414190 + ... + 90414260.

It is an arithmetic number, because the mean of its divisors is an integer number (54077268).

Almost surely, 2^6419409975 is an apocalyptic number.

6419409975 is an abundant number, since it is smaller than the sum of its proper divisors (7208061561).

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

6419409975 is a wasteful number, since it uses less digits than its factorization.

6419409975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 6419409975 is about 80121.2205036843. The cubic root of 6419409975 is about 1858.5105792361.

The spelling of 6419409975 in words is "six billion, four hundred nineteen million, four hundred nine thousand, nine hundred seventy-five".