6463628305920 has 960 divisors, whose sum is σ = 24837349432896. Its totient is φ = 1605264998400.

The previous prime is 6463628305891. The next prime is 6463628305943. The reversal of 6463628305920 is 295038263646.

It is a happy number.

6463628305920 is a `hidden beast` number, since 6 + 4 + 6 + 3 + 628 + 3 + 0 + 5 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 1025806770 + ... + 1025813070.

Almost surely, 2^{6463628305920} is an apocalyptic number.

6463628305920 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 6463628305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12418674716448).

6463628305920 is an abundant number, since it is smaller than the sum of its proper divisors (18373721126976).

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

6463628305920 is an equidigital number, since it uses as much as digits as its factorization.

6463628305920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6453 (or 6425 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 6463628305920 in words is "six trillion, four hundred sixty-three billion, six hundred twenty-eight million, three hundred five thousand, nine hundred twenty".