6872532480 has 800 divisors, whose sum is σ = 28234407168. Its totient is φ = 1581465600.

The previous prime is 6872532473. The next prime is 6872532497. The reversal of 6872532480 is 842352786.

6872532480 is a `hidden beast` number, since 6 + 8 + 72 + 532 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 52462015 + ... + 52462145.

Almost surely, 2^6872532480 is an apocalyptic number.

6872532480 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 6872532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14117203584).

6872532480 is an abundant number, since it is smaller than the sum of its proper divisors (21361874688).

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

6872532480 is a wasteful number, since it uses less digits than its factorization.

6872532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 6872532480 is about 82900.7387180597. The cubic root of 6872532480 is about 1901.2487156137.

The spelling of 6872532480 in words is "six billion, eight hundred seventy-two million, five hundred thirty-two thousand, four hundred eighty".