6374978616384 has 945 divisors, whose sum is σ = 22698761650773. Its totient is φ = 1710287695872.

The previous prime is 6374978616379. The next prime is 6374978616427. The reversal of 6374978616384 is 4836168794736.

The square root of 6374978616384 is 2524872.

It is a perfect power (a square), and thus also a powerful number.

6374978616384 is a `hidden beast` number, since 6 + 3 + 74 + 97 + 86 + 16 + 384 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112332225600 + 6262646390784 = 335160^2 + 2502528^2 .

It is a super-3 number, since 3×6374978616384³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (877879296) is a multiple of the sum of its prime divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 56415739912 + ... + 56415740024.

Almost surely, 2^{6374978616384} is an apocalyptic number.

6374978616384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6374978616384 is the 2524872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6374978616384

6374978616384 is an abundant number, since it is smaller than the sum of its proper divisors (16323783034389).

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

6374978616384 is an equidigital number, since it uses as much as digits as its factorization.

6374978616384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 144 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 72.

The spelling of 6374978616384 in words is "six trillion, three hundred seventy-four billion, nine hundred seventy-eight million, six hundred sixteen thousand, three hundred eighty-four".