638047805740800 has 2592 divisors, whose sum is σ = 2637859614179328. Its totient is φ = 132978368839680.

The previous prime is 638047805740783. The next prime is 638047805740801. The reversal of 638047805740800 is 8047508740836.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638047805740801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1075965945304 + ... + 1075965945896.

It is an arithmetic number, because the mean of its divisors is an integer number (1017692752384).

Almost surely, 2^{638047805740800} is an apocalyptic number.

638047805740800 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 638047805740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318929807089664).

638047805740800 is an abundant number, since it is smaller than the sum of its proper divisors (1999811808438528).

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

638047805740800 is a wasteful number, since it uses less digits than its factorization.

638047805740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 60.

The spelling of 638047805740800 in words is "six hundred thirty-eight trillion, forty-seven billion, eight hundred five million, seven hundred forty thousand, eight hundred".