207138541632 has 448 divisors, whose sum is σ = 652426887168. Its totient is φ = 57286656000.

The previous prime is 207138541573. The next prime is 207138541667. The reversal of 207138541632 is 236145831702.

207138541632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 328269957 + ... + 328270587.

It is an arithmetic number, because the mean of its divisors is an integer number (1456310016).

Almost surely, 2^207138541632 is an apocalyptic number.

207138541632 is a gapful number since it is divisible by the number (22) 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 207138541632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326213443584).

207138541632 is an abundant number, since it is smaller than the sum of its proper divisors (445288345536).

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

207138541632 is a wasteful number, since it uses less digits than its factorization.

207138541632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 207138541632 in words is "two hundred seven billion, one hundred thirty-eight million, five hundred forty-one thousand, six hundred thirty-two".