638700912400096 has 384 divisors, whose sum is σ = 1647426778018560. Its totient is φ = 236537878413312.

The previous prime is 638700912400087. The next prime is 638700912400099. The reversal of 638700912400096 is 690004219007836.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638700912400099) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49863442140 + ... + 49863454948.

It is an arithmetic number, because the mean of its divisors is an integer number (4290173901090).

Almost surely, 2^{638700912400096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638700912400096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823713389009280).

638700912400096 is an abundant number, since it is smaller than the sum of its proper divisors (1008725865618464).

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

638700912400096 is a wasteful number, since it uses less digits than its factorization.

638700912400096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18166 (or 18158 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 55.

The spelling of 638700912400096 in words is "six hundred thirty-eight trillion, seven hundred billion, nine hundred twelve million, four hundred thousand, ninety-six".