6802400040 has 64 divisors (see below), whose sum is σ = 20497181760. Its totient is φ = 1805975040.

The previous prime is 6802399987. The next prime is 6802400047. The reversal of 6802400040 is 400042086.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (6802400047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97621 + ... + 152100.

It is an arithmetic number, because the mean of its divisors is an integer number (320268465).

Almost surely, 2^6802400040 is an apocalyptic number.

6802400040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6802400040 is an abundant number, since it is smaller than the sum of its proper divisors (13694781720).

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

6802400040 is a wasteful number, since it uses less digits than its factorization.

6802400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249962 (or 249958 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 6802400040 is about 82476.6636085626. The cubic root of 6802400040 is about 1894.7593385129.

The spelling of 6802400040 in words is "six billion, eight hundred two million, four hundred thousand, forty".