6735558144 has 160 divisors (see below), whose sum is σ = 21062866176. Its totient is φ = 1872322560.

The previous prime is 6735558079. The next prime is 6735558161. The reversal of 6735558144 is 4418555376.

It is a super-2 number, since 2×6735558144² = 90735487022409449472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 6735558093 and 6735558102.

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 15 ways as a sum of consecutive naturals, for example, 389359 + ... + 406289.

Almost surely, 2^6735558144 is an apocalyptic number.

6735558144 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 6735558144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10531433088).

6735558144 is an abundant number, since it is smaller than the sum of its proper divisors (14327308032).

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

6735558144 is a wasteful number, since it uses less digits than its factorization.

6735558144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16996 (or 16980 counting only the distinct ones).

The product of its digits is 2016000, while the sum is 48.

The square root of 6735558144 is about 82070.4462276159. The cubic root of 6735558144 is about 1888.5327903592.

The spelling of 6735558144 in words is "six billion, seven hundred thirty-five million, five hundred fifty-eight thousand, one hundred forty-four".