6376753152 has 288 divisors, whose sum is σ = 22966856640. Its totient is φ = 1655930880.

The previous prime is 6376753147. The next prime is 6376753171. The reversal of 6376753152 is 2513576736.

6376753152 is a `hidden beast` number, since 6 + 3 + 7 + 67 + 531 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 6376753098 and 6376753107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1417018 + ... + 1421510.

It is an arithmetic number, because the mean of its divisors is an integer number (79746030).

Almost surely, 2^6376753152 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 6376753152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11483428320).

6376753152 is an abundant number, since it is smaller than the sum of its proper divisors (16590103488).

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

6376753152 is a wasteful number, since it uses less digits than its factorization.

6376753152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4539 (or 4516 counting only the distinct ones).

The product of its digits is 793800, while the sum is 45.

The square root of 6376753152 is about 79854.5750223492. The cubic root of 6376753152 is about 1854.3848413699.

It can be divided in two parts, 6376 and 753152, that added together give a triangular number (759528 = T₁₂₃₂).

The spelling of 6376753152 in words is "six billion, three hundred seventy-six million, seven hundred fifty-three thousand, one hundred fifty-two".