6268630832640 has 1280 divisors, whose sum is σ = 25674006758400. Its totient is φ = 1433803161600.

The previous prime is 6268630832617. The next prime is 6268630832657. The reversal of 6268630832640 is 462380368626.

6268630832640 is a `hidden beast` number, since 6 + 2 + 6 + 8 + 6 + 308 + 326 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4232700700 + ... + 4232702180.

It is an arithmetic number, because the mean of its divisors is an integer number (20057817780).

Almost surely, 2^{6268630832640} is an apocalyptic number.

6268630832640 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 6268630832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12837003379200).

6268630832640 is an abundant number, since it is smaller than the sum of its proper divisors (19405375925760).

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

6268630832640 is a wasteful number, since it uses less digits than its factorization.

6268630832640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 6268630832640 in words is "six trillion, two hundred sixty-eight billion, six hundred thirty million, eight hundred thirty-two thousand, six hundred forty".