6346495488000 has 1248 divisors, whose sum is σ = 23238611398080. Its totient is φ = 1537920204800.

The previous prime is 6346495487987. The next prime is 6346495488007. The reversal of 6346495488000 is 8845946436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6346495488007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218844671986 + ... + 218844672014.

It is an arithmetic number, because the mean of its divisors is an integer number (18620682210).

Almost surely, 2^{6346495488000} is an apocalyptic number.

6346495488000 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 6346495488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11619305699040).

6346495488000 is an abundant number, since it is smaller than the sum of its proper divisors (16892115910080).

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

6346495488000 is an frugal number, since it uses more digits than its factorization.

6346495488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 57.

The spelling of 6346495488000 in words is "six trillion, three hundred forty-six billion, four hundred ninety-five million, four hundred eighty-eight thousand".