6212441664 has 448 divisors, whose sum is σ = 22175784960. Its totient is φ = 1679616000.

The previous prime is 6212441663. The next prime is 6212441759. The reversal of 6212441664 is 4661442126.

6212441664 is a `hidden beast` number, since 62 + 124 + 416 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (6212441663) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7659819 + ... + 7660629.

It is an arithmetic number, because the mean of its divisors is an integer number (49499520).

Almost surely, 2^6212441664 is an apocalyptic number.

6212441664 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 6212441664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11087892480).

6212441664 is an abundant number, since it is smaller than the sum of its proper divisors (15963343296).

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

6212441664 is a wasteful number, since it uses less digits than its factorization.

6212441664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 871 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 6212441664 is about 78819.0437901907. The cubic root of 6212441664 is about 1838.3185710649.

The spelling of 6212441664 in words is "six billion, two hundred twelve million, four hundred forty-one thousand, six hundred sixty-four".