6329670486480 has 800 divisors, whose sum is σ = 25272019808640. Its totient is φ = 1452128808960.

The previous prime is 6329670486479. The next prime is 6329670486481. The reversal of 6329670486480 is 846840769236.

6329670486480 is a `hidden beast` number, since 6 + 3 + 2 + 9 + 6 + 70 + 4 + 86 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (6329670486479) and next prime (6329670486481).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6329670486481) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1642788234 + ... + 1642792086.

Almost surely, 2^{6329670486480} is an apocalyptic number.

6329670486480 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 6329670486480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12636009904320).

6329670486480 is an abundant number, since it is smaller than the sum of its proper divisors (18942349322160).

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

6329670486480 is a wasteful number, since it uses less digits than its factorization.

6329670486480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5121 (or 5106 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 6329670486480 in words is "six trillion, three hundred twenty-nine billion, six hundred seventy million, four hundred eighty-six thousand, four hundred eighty".