6492630144 has 768 divisors, whose sum is σ = 25004851200. Its totient is φ = 1463132160.

The previous prime is 6492630143. The next prime is 6492630227. The reversal of 6492630144 is 4410362946.

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

It is not an unprimeable number, because it can be changed into a prime (6492630143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51123009 + ... + 51123135.

It is an arithmetic number, because the mean of its divisors is an integer number (32558400).

Almost surely, 2^6492630144 is an apocalyptic number.

6492630144 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 6492630144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12502425600).

6492630144 is an abundant number, since it is smaller than the sum of its proper divisors (18512221056).

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

6492630144 is a wasteful number, since it uses less digits than its factorization.

6492630144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 6492630144 is about 80576.8586133761. The cubic root of 6492630144 is about 1865.5499765436.

It can be divided in two parts, 6492 and 630144, that added together give a palindrome (636636).

The spelling of 6492630144 in words is "six billion, four hundred ninety-two million, six hundred thirty thousand, one hundred forty-four".