6379978752 has 270 divisors, whose sum is σ = 21463826748. Its totient is φ = 1820786688.

The previous prime is 6379978733. The next prime is 6379978793. The reversal of 6379978752 is 2578799736.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 6379978752.

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 17 ways as a sum of consecutive naturals, for example, 7224903 + ... + 7225785.

Almost surely, 2^6379978752 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 6379978752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10731913374).

6379978752 is an abundant number, since it is smaller than the sum of its proper divisors (15083847996).

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

6379978752 is an equidigital number, since it uses as much as digits as its factorization.

6379978752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 895 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 63.

The square root of 6379978752 is about 79874.7691827651. The cubic root of 6379978752 is about 1854.6974610438.

The spelling of 6379978752 in words is "six billion, three hundred seventy-nine million, nine hundred seventy-eight thousand, seven hundred fifty-two".