6335491680000 has 1440 divisors, whose sum is σ = 27922321996800. Its totient is φ = 1384998912000.

The previous prime is 6335491679999. The next prime is 6335491680031. The reversal of 6335491680000 is 861945336.

6335491680000 is a `hidden beast` number, since 633 + 5 + 4 + 9 + 1 + 6 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 695515446 + ... + 695524554.

Almost surely, 2^{6335491680000} is an apocalyptic number.

6335491680000 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 6335491680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13961160998400).

6335491680000 is an abundant number, since it is smaller than the sum of its proper divisors (21586830316800).

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

6335491680000 is an equidigital number, since it uses as much as digits as its factorization.

6335491680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9184 (or 9149 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 6335491680000 in words is "six trillion, three hundred thirty-five billion, four hundred ninety-one million, six hundred eighty thousand".