6355072224 has 144 divisors (see below), whose sum is σ = 18918900000. Its totient is φ = 2019714048.

The previous prime is 6355072187. The next prime is 6355072237. The reversal of 6355072224 is 4222705536.

6355072224 is a `hidden beast` number, since 63 + 550 + 7 + 22 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×6355072224⁴ (a number of 40 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2310402 + ... + 2313150.

It is an arithmetic number, because the mean of its divisors is an integer number (131381250).

Almost surely, 2^6355072224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6355072224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9459450000).

6355072224 is an abundant number, since it is smaller than the sum of its proper divisors (12563827776).

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

6355072224 is a wasteful number, since it uses less digits than its factorization.

6355072224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 6355072224 is about 79718.7068635712. The cubic root of 6355072224 is about 1852.2808220314.

The spelling of 6355072224 in words is "six billion, three hundred fifty-five million, seventy-two thousand, two hundred twenty-four".