6217085952 has 264 divisors, whose sum is σ = 22383895872. Its totient is φ = 1614643200.

The previous prime is 6217085933. The next prime is 6217085983. The reversal of 6217085952 is 2595807126.

It is a tau number, because it is divible by the number of its divisors (264).

It is a junction number, because it is equal to n+sod(n) for n = 6217085898 and 6217085907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 705252 + ... + 714012.

Almost surely, 2^6217085952 is an apocalyptic number.

It is a pronic number, being equal to 78848×78849.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6217085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11191947936).

6217085952 is an abundant number, since it is smaller than the sum of its proper divisors (16166809920).

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

6217085952 is a wasteful number, since it uses less digits than its factorization.

6217085952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8805 (or 8784 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 6217085952 is about 78848.4999984147. The cubic root of 6217085952 is about 1838.7765527891.

The spelling of 6217085952 in words is "six billion, two hundred seventeen million, eighty-five thousand, nine hundred fifty-two".