6802002432 has 480 divisors, whose sum is σ = 22450348800. Its totient is φ = 2029805568.

The previous prime is 6802002397. The next prime is 6802002439. The reversal of 6802002432 is 2342002086.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 6802002396 and 6802002405.

It is not an unprimeable number, because it can be changed into a prime (6802002439) by changing a digit.

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, 144723433 + ... + 144723479.

It is an arithmetic number, because the mean of its divisors is an integer number (46771560).

Almost surely, 2^6802002432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6802002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11225174400).

6802002432 is an abundant number, since it is smaller than the sum of its proper divisors (15648346368).

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

6802002432 is a wasteful number, since it uses less digits than its factorization.

6802002432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 6802002432 is about 82474.2531460576. The cubic root of 6802002432 is about 1894.7224208493.

The spelling of 6802002432 in words is "six billion, eight hundred two million, two thousand, four hundred thirty-two".