6398083883520 has 1800 divisors, whose sum is σ = 27411719108004. Its totient is φ = 1421662814208.

The previous prime is 6398083883407. The next prime is 6398083883561. The reversal of 6398083883520 is 253883808936.

It can be written as a sum of positive squares in 6 ways, for example, as 4709872210176 + 1688211673344 = 2170224^2 + 1299312^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 58698017226 + ... + 58698017334.

Almost surely, 2^{6398083883520} is an apocalyptic number.

6398083883520 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 6398083883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13705859554002).

6398083883520 is an abundant number, since it is smaller than the sum of its proper divisors (21013635224484).

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

6398083883520 is an equidigital number, since it uses as much as digits as its factorization.

6398083883520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 6398083883520 in words is "six trillion, three hundred ninety-eight billion, eighty-three million, eight hundred eighty-three thousand, five hundred twenty".