6419772288 has 512 divisors, whose sum is σ = 21679488000. Its totient is φ = 1881169920.

The previous prime is 6419772263. The next prime is 6419772301. The reversal of 6419772288 is 8822779146.

It is a happy number.

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

Its product of digits (2709504) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90419293 + ... + 90419363.

It is an arithmetic number, because the mean of its divisors is an integer number (42342750).

Almost surely, 2^6419772288 is an apocalyptic number.

6419772288 is a gapful number since it is divisible by the number (68) 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 6419772288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10839744000).

6419772288 is an abundant number, since it is smaller than the sum of its proper divisors (15259715712).

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

6419772288 is an equidigital number, since it uses as much as digits as its factorization.

6419772288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 112 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 6419772288 is about 80123.4815019917. The cubic root of 6419772288 is about 1858.5455435022.

The spelling of 6419772288 in words is "six billion, four hundred nineteen million, seven hundred seventy-two thousand, two hundred eighty-eight".