6732042480 has 240 divisors, whose sum is σ = 23046441600. Its totient is φ = 1760735232.

The previous prime is 6732042467. The next prime is 6732042521. The reversal of 6732042480 is 842402376.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18343257 + ... + 18343623.

It is an arithmetic number, because the mean of its divisors is an integer number (96026840).

Almost surely, 2^6732042480 is an apocalyptic number.

6732042480 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 6732042480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11523220800).

6732042480 is an abundant number, since it is smaller than the sum of its proper divisors (16314399120).

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

6732042480 is a wasteful number, since it uses less digits than its factorization.

6732042480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 6732042480 is about 82049.0248570938. The cubic root of 6732042480 is about 1888.2041562602.

It can be divided in two parts, 673204 and 2480, that added together give a square (675684 = 822²).

The spelling of 6732042480 in words is "six billion, seven hundred thirty-two million, forty-two thousand, four hundred eighty".