6488433047040 has 1920 divisors, whose sum is σ = 26644003246080. Its totient is φ = 1337720832000.

The previous prime is 6488433047003. The next prime is 6488433047051. The reversal of 6488433047040 is 407403348846.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

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, 16180630840 + ... + 16180631240.

It is an arithmetic number, because the mean of its divisors is an integer number (13877085024).

Almost surely, 2^{6488433047040} is an apocalyptic number.

6488433047040 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 6488433047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13322001623040).

6488433047040 is an abundant number, since it is smaller than the sum of its proper divisors (20155570199040).

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

6488433047040 is a wasteful number, since it uses less digits than its factorization.

6488433047040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 51.

The spelling of 6488433047040 in words is "six trillion, four hundred eighty-eight billion, four hundred thirty-three million, forty-seven thousand, forty".