4645839581760 has 1344 divisors, whose sum is σ = 17739994374144. Its totient is φ = 1024789708800.

The previous prime is 4645839581711. The next prime is 4645839581807. The reversal of 4645839581760 is 671859385464.

It is a junction number, because it is equal to n+sod(n) for n = 4645839581691 and 4645839581700.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5728531755 + ... + 5728532565.

It is an arithmetic number, because the mean of its divisors is an integer number (13199400576).

Almost surely, 2^{4645839581760} is an apocalyptic number.

4645839581760 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 4645839581760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8869997187072).

4645839581760 is an abundant number, since it is smaller than the sum of its proper divisors (13094154792384).

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

4645839581760 is a wasteful number, since it uses less digits than its factorization.

4645839581760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 66.

The spelling of 4645839581760 in words is "four trillion, six hundred forty-five billion, eight hundred thirty-nine million, five hundred eighty-one thousand, seven hundred sixty".