638463487695120 has 640 divisors, whose sum is σ = 2258530801920000. Its totient is φ = 165724570957824.

The previous prime is 638463487695113. The next prime is 638463487695133. The reversal of 638463487695120 is 21596784364836.

It is a happy number.

638463487695120 is a `hidden beast` number, since 6 + 3 + 8 + 4 + 6 + 3 + 48 + 7 + 69 + 512 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5587804551 + ... + 5587918809.

It is an arithmetic number, because the mean of its divisors is an integer number (3528954378000).

It is a 1-persistent number, because it is pandigital, but 2⋅638463487695120 = 1276926975390240 is not.

Almost surely, 2^{638463487695120} is an apocalyptic number.

638463487695120 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 638463487695120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129265400960000).

638463487695120 is an abundant number, since it is smaller than the sum of its proper divisors (1620067314224880).

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

638463487695120 is a wasteful number, since it uses less digits than its factorization.

638463487695120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114772 (or 114760 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 638463487695120 in words is "six hundred thirty-eight trillion, four hundred sixty-three billion, four hundred eighty-seven million, six hundred ninety-five thousand, one hundred twenty".