6216435456 has 288 divisors, whose sum is σ = 21298937856. Its totient is φ = 1562112000.

The previous prime is 6216435437. The next prime is 6216435461. The reversal of 6216435456 is 6545346126.

It is a super-2 number, since 2×6216435456² = 77288139557227855872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1831521 + ... + 1834911.

Almost surely, 2^6216435456 is an apocalyptic number.

6216435456 is a gapful number since it is divisible by the number (66) 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 6216435456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10649468928).

6216435456 is an abundant number, since it is smaller than the sum of its proper divisors (15082502400).

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

6216435456 is a wasteful number, since it uses less digits than its factorization.

6216435456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3459 (or 3445 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The square root of 6216435456 is about 78844.3749166673. The cubic root of 6216435456 is about 1838.7124199289.

The spelling of 6216435456 in words is "six billion, two hundred sixteen million, four hundred thirty-five thousand, four hundred fifty-six".