438380667648 has 720 divisors, whose sum is σ = 1635994838016. Its totient is φ = 113427578880.

The previous prime is 438380667643. The next prime is 438380667733. The reversal of 438380667648 is 846766083834.

438380667648 is a `hidden beast` number, since 438 + 3 + 80 + 6 + 67 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (438380667643) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 739258840 + ... + 739259432.

Almost surely, 2^438380667648 is an apocalyptic number.

438380667648 is a gapful number since it is divisible by the number (48) 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 438380667648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817997419008).

438380667648 is an abundant number, since it is smaller than the sum of its proper divisors (1197614170368).

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

438380667648 is a wasteful number, since it uses less digits than its factorization.

438380667648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 438380667648 in words is "four hundred thirty-eight billion, three hundred eighty million, six hundred sixty-seven thousand, six hundred forty-eight".