6419952000 has 1024 divisors, whose sum is σ = 29634508800. Its totient is φ = 1327104000.

The previous prime is 6419951969. The next prime is 6419952001. The reversal of 6419952000 is 2599146.

6419952000 is a `hidden beast` number, since 6 + 41 + 99 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6419952001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33263904 + ... + 33264096.

It is an arithmetic number, because the mean of its divisors is an integer number (28939950).

Almost surely, 2^6419952000 is an apocalyptic number.

6419952000 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 6419952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817254400).

6419952000 is an abundant number, since it is smaller than the sum of its proper divisors (23214556800).

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

6419952000 is a wasteful number, since it uses less digits than its factorization.

6419952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 6419952000 is about 80124.6029631349. The cubic root of 6419952000 is about 1858.5628857487.

The spelling of 6419952000 in words is "six billion, four hundred nineteen million, nine hundred fifty-two thousand".