6355038144 has 336 divisors, whose sum is σ = 21270163200. Its totient is φ = 1673118720.

The previous prime is 6355038083. The next prime is 6355038229. The reversal of 6355038144 is 4418305536.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 47 ways as a sum of consecutive naturals, for example, 11129379 + ... + 11129949.

Almost surely, 2^6355038144 is an apocalyptic number.

6355038144 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 6355038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10635081600).

6355038144 is an abundant number, since it is smaller than the sum of its proper divisors (14915125056).

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

6355038144 is a wasteful number, since it uses less digits than its factorization.

6355038144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 6355038144 is about 79718.4931116990. The cubic root of 6355038144 is about 1852.2775109836.

The spelling of 6355038144 in words is "six billion, three hundred fifty-five million, thirty-eight thousand, one hundred forty-four".