4592592640 has 144 divisors (see below), whose sum is σ = 11343267936. Its totient is φ = 1780531200.

The previous prime is 4592592637. The next prime is 4592592649. The reversal of 4592592640 is 462952954.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4592592649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9962010 + ... + 9962470.

It is an arithmetic number, because the mean of its divisors is an integer number (78772694).

Almost surely, 2^4592592640 is an apocalyptic number.

4592592640 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 4592592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5671633968).

4592592640 is an abundant number, since it is smaller than the sum of its proper divisors (6750675296).

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

4592592640 is a wasteful number, since it uses less digits than its factorization.

4592592640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The square root of 4592592640 is about 67768.6700474489. The cubic root of 4592592640 is about 1662.2103231323.

The spelling of 4592592640 in words is "four billion, five hundred ninety-two million, five hundred ninety-two thousand, six hundred forty".