4606071633640 has 128 divisors (see below), whose sum is σ = 10693525547520. Its totient is φ = 1784611584000.

The previous prime is 4606071633619. The next prime is 4606071633641. The reversal of 4606071633640 is 463361706064.

It is not an unprimeable number, because it can be changed into a prime (4606071633641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 678058084 + ... + 678064876.

It is an arithmetic number, because the mean of its divisors is an integer number (83543168340).

Almost surely, 2^{4606071633640} is an apocalyptic number.

4606071633640 is a gapful number since it is divisible by the number (40) 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 4606071633640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346762773760).

4606071633640 is an abundant number, since it is smaller than the sum of its proper divisors (6087453913880).

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

4606071633640 is a wasteful number, since it uses less digits than its factorization.

4606071633640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10523 (or 10519 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 46.

The spelling of 4606071633640 in words is "four trillion, six hundred six billion, seventy-one million, six hundred thirty-three thousand, six hundred forty".