6488748584640 has 672 divisors, whose sum is σ = 26653955328000. Its totient is φ = 1416633090048.

The previous prime is 6488748584603. The next prime is 6488748584683. The reversal of 6488748584640 is 464858478846.

6488748584640 is a `hidden beast` number, since 6 + 4 + 8 + 8 + 7 + 485 + 84 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 337085736 + ... + 337104984.

It is an arithmetic number, because the mean of its divisors is an integer number (39663624000).

Almost surely, 2^{6488748584640} is an apocalyptic number.

6488748584640 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 6488748584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13326977664000).

6488748584640 is an abundant number, since it is smaller than the sum of its proper divisors (20165206743360).

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

6488748584640 is a wasteful number, since it uses less digits than its factorization.

6488748584640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20029 (or 20016 counting only the distinct ones).

The product of its (nonzero) digits is 1321205760, while the sum is 72.

The spelling of 6488748584640 in words is "six trillion, four hundred eighty-eight billion, seven hundred forty-eight million, five hundred eighty-four thousand, six hundred forty".