6419247744 has 512 divisors, whose sum is σ = 22482432000. Its totient is φ = 1609445376.

The previous prime is 6419247713. The next prime is 6419247749. The reversal of 6419247744 is 4477429146.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 6419247693 and 6419247702.

It is not an unprimeable number, because it can be changed into a prime (6419247749) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39381807 + ... + 39381969.

It is an arithmetic number, because the mean of its divisors is an integer number (43911000).

Almost surely, 2^6419247744 is an apocalyptic number.

6419247744 is a gapful number since it is divisible by the number (64) 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 6419247744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11241216000).

6419247744 is an abundant number, since it is smaller than the sum of its proper divisors (16063184256).

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

6419247744 is a wasteful number, since it uses less digits than its factorization.

6419247744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 211 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The square root of 6419247744 is about 80120.2080875980. The cubic root of 6419247744 is about 1858.4949230429.

The spelling of 6419247744 in words is "six billion, four hundred nineteen million, two hundred forty-seven thousand, seven hundred forty-four".