838038039632640 has 7776 divisors, whose sum is σ = 4035086517676032. Its totient is φ = 165726889574400.

The previous prime is 838038039632627. The next prime is 838038039632681. The reversal of 838038039632640 is 46236930830838.

838038039632640 is a `hidden beast` number, since 8 + 3 + 80 + 3 + 80 + 396 + 32 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7776).

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

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 6117065982652 + ... + 6117065982788.

It is an arithmetic number, because the mean of its divisors is an integer number (518915447232).

Almost surely, 2^{838038039632640} is an apocalyptic number.

838038039632640 is a gapful number since it is divisible by the number (80) 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 838038039632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017543258838016).

838038039632640 is an abundant number, since it is smaller than the sum of its proper divisors (3197048478043392).

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

838038039632640 is a wasteful number, since it uses less digits than its factorization.

838038039632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 63.

The spelling of 838038039632640 in words is "eight hundred thirty-eight trillion, thirty-eight billion, thirty-nine million, six hundred thirty-two thousand, six hundred forty".