6818003435520 has 1200 divisors, whose sum is σ = 26377068009600. Its totient is φ = 1679158149120.

The previous prime is 6818003435491. The next prime is 6818003435597. The reversal of 6818003435520 is 255343008186.

6818003435520 is a `hidden beast` number, since 6 + 8 + 1 + 80 + 0 + 3 + 43 + 5 + 520 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5169069421 + ... + 5169070739.

It is an arithmetic number, because the mean of its divisors is an integer number (21980890008).

Almost surely, 2^{6818003435520} is an apocalyptic number.

6818003435520 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 6818003435520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13188534004800).

6818003435520 is an abundant number, since it is smaller than the sum of its proper divisors (19559064574080).

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

6818003435520 is a wasteful number, since it uses less digits than its factorization.

6818003435520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 6818003435520 in words is "six trillion, eight hundred eighteen billion, three million, four hundred thirty-five thousand, five hundred twenty".