4862745632640 has 256 divisors, whose sum is σ = 17717253120000. Its totient is φ = 1111298654208.

The previous prime is 4862745632609. The next prime is 4862745632669. The reversal of 4862745632640 is 462365472684.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90276436 + ... + 90330284.

It is an arithmetic number, because the mean of its divisors is an integer number (69208020000).

Almost surely, 2^{4862745632640} is an apocalyptic number.

4862745632640 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 4862745632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8858626560000).

4862745632640 is an abundant number, since it is smaller than the sum of its proper divisors (12854507487360).

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

4862745632640 is a wasteful number, since it uses less digits than its factorization.

4862745632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60597 (or 60585 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 57.

The spelling of 4862745632640 in words is "four trillion, eight hundred sixty-two billion, seven hundred forty-five million, six hundred thirty-two thousand, six hundred forty".