6753870144 has 336 divisors, whose sum is σ = 23452336128. Its totient is φ = 1816556544.

The previous prime is 6753870127. The next prime is 6753870161. The reversal of 6753870144 is 4410783576.

6753870144 is a `hidden beast` number, since 6 + 7 + 538 + 70 + 1 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (6753870127) and next prime (6753870161).

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

It is a super-2 number, since 2×6753870144² = 91229523844029161472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6753870144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6212769 + ... + 6213855.

Almost surely, 2^6753870144 is an apocalyptic number.

6753870144 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 6753870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11726168064).

6753870144 is an abundant number, since it is smaller than the sum of its proper divisors (16698465984).

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

6753870144 is a wasteful number, since it uses less digits than its factorization.

6753870144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 6753870144 is about 82181.9331970233. The cubic root of 6753870144 is about 1890.2426966409.

The spelling of 6753870144 in words is "six billion, seven hundred fifty-three million, eight hundred seventy thousand, one hundred forty-four".