6224777664 has 224 divisors, whose sum is σ = 20114459136. Its totient is φ = 1658388480.

The previous prime is 6224777651. The next prime is 6224777677. The reversal of 6224777664 is 4667774226.

It is an interprime number because it is at equal distance from previous prime (6224777651) and next prime (6224777677).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2580619 + ... + 2583029.

Almost surely, 2^6224777664 is an apocalyptic number.

6224777664 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 6224777664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10057229568).

6224777664 is an abundant number, since it is smaller than the sum of its proper divisors (13889681472).

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

6224777664 is a wasteful number, since it uses less digits than its factorization.

6224777664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2553 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 51.

The square root of 6224777664 is about 78897.2601805665. The cubic root of 6224777664 is about 1839.5345451523.

The spelling of 6224777664 in words is "six billion, two hundred twenty-four million, seven hundred seventy-seven thousand, six hundred sixty-four".