6408991330560 has 1728 divisors, whose sum is σ = 28886272396800. Its totient is φ = 1351934115840.

The previous prime is 6408991330549. The next prime is 6408991330571. The reversal of 6408991330560 is 650331998046.

6408991330560 is a `hidden beast` number, since 6 + 40 + 8 + 9 + 9 + 1 + 3 + 30 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (6408991330549) and next prime (6408991330571).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6408991330497 and 6408991330506.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1386925050 + ... + 1386929670.

Almost surely, 2^{6408991330560} is an apocalyptic number.

6408991330560 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 6408991330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14443136198400).

6408991330560 is an abundant number, since it is smaller than the sum of its proper divisors (22477281066240).

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

6408991330560 is an equidigital number, since it uses as much as digits as its factorization.

6408991330560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4691 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 6408991330560 in words is "six trillion, four hundred eight billion, nine hundred ninety-one million, three hundred thirty thousand, five hundred sixty".