6379432974720 has 1024 divisors, whose sum is σ = 24665969664000. Its totient is φ = 1548885196800.

The previous prime is 6379432974671. The next prime is 6379432974743. The reversal of 6379432974720 is 274792349736.

6379432974720 is a `hidden beast` number, since 6 + 3 + 79 + 4 + 3 + 2 + 97 + 472 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10867858267 + ... + 10867858853.

It is an arithmetic number, because the mean of its divisors is an integer number (24087861000).

Almost surely, 2^{6379432974720} is an apocalyptic number.

6379432974720 is a gapful number since it is divisible by the number (60) 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 6379432974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12332984832000).

6379432974720 is an abundant number, since it is smaller than the sum of its proper divisors (18286536689280).

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

6379432974720 is a wasteful number, since it uses less digits than its factorization.

6379432974720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 96018048, while the sum is 63.

The spelling of 6379432974720 in words is "six trillion, three hundred seventy-nine billion, four hundred thirty-two million, nine hundred seventy-four thousand, seven hundred twenty".