6223947664 has 75 divisors (see below), whose sum is σ = 13346583915. Its totient is φ = 2811710880.

The previous prime is 6223947649. The next prime is 6223947727. The reversal of 6223947664 is 4667493226.

The square root of 6223947664 is 78892.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×6223947664² = 77475049048422113792, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (2612736) is a multiple of the sum of its prime factors (378).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 38183647 + ... + 38183809.

Almost surely, 2^6223947664 is an apocalyptic number.

6223947664 is the 78892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6223947664

6223947664 is an abundant number, since it is smaller than the sum of its proper divisors (7122636251).

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

6223947664 is an frugal number, since it uses more digits than its factorization.

6223947664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 176 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 49.

The cubic root of 6223947664 is about 1839.4527815070.

Multiplying 6223947664 by its sum of digits (49), we get a square (304973435536 = 552244²).

The spelling of 6223947664 in words is "six billion, two hundred twenty-three million, nine hundred forty-seven thousand, six hundred sixty-four".