5667821964 has 216 divisors, whose sum is σ = 18171321840. Its totient is φ = 1518048000.

The previous prime is 5667821963. The next prime is 5667821983. The reversal of 5667821964 is 4691287665.

5667821964 is a `hidden beast` number, since 566 + 7 + 8 + 2 + 19 + 64 = 666.

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

Its product of digits (4354560) is a multiple of the sum of its prime divisors (280).

It is a self number, because there is not a number n which added to its sum of digits gives 5667821964.

It is not an unprimeable number, because it can be changed into a prime (5667821963) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22580839 + ... + 22581089.

It is an arithmetic number, because the mean of its divisors is an integer number (84126490).

Almost surely, 2^5667821964 is an apocalyptic number.

5667821964 is a gapful number since it is divisible by the number (54) 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 5667821964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9085660920).

5667821964 is an abundant number, since it is smaller than the sum of its proper divisors (12503499876).

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

5667821964 is a wasteful number, since it uses less digits than its factorization.

5667821964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 280 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 5667821964 is about 75284.9384936987. The cubic root of 5667821964 is about 1782.9482307316.

The spelling of 5667821964 in words is "five billion, six hundred sixty-seven million, eight hundred twenty-one thousand, nine hundred sixty-four".