8048349630720 has 1080 divisors, whose sum is σ = 33905651117184. Its totient is φ = 1817363423232.

The previous prime is 8048349630683. The next prime is 8048349630731. The reversal of 8048349630720 is 270369438408.

8048349630720 is a `hidden beast` number, since 8 + 0 + 4 + 83 + 496 + 3 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-3 number, since 3×8048349630720³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 421657017 + ... + 421676103.

Almost surely, 2^{8048349630720} is an apocalyptic number.

8048349630720 is a gapful number since it is divisible by the number (80) 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 8048349630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16952825558592).

8048349630720 is an abundant number, since it is smaller than the sum of its proper divisors (25857301486464).

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

8048349630720 is a wasteful number, since it uses less digits than its factorization.

8048349630720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19217 (or 19187 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 8048349630720 in words is "eight trillion, forty-eight billion, three hundred forty-nine million, six hundred thirty thousand, seven hundred twenty".