4648261606560 has 960 divisors, whose sum is σ = 20110522924800. Its totient is φ = 994936504320.

The previous prime is 4648261606517. The next prime is 4648261606561. The reversal of 4648261606560 is 656061628464.

4648261606560 is a `hidden beast` number, since 4 + 6 + 4 + 8 + 26 + 1 + 606 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4648261606497 and 4648261606506.

It is not an unprimeable number, because it can be changed into a prime (4648261606561) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 42570916 + ... + 42679964.

It is an arithmetic number, because the mean of its divisors is an integer number (20948461380).

Almost surely, 2^{4648261606560} is an apocalyptic number.

4648261606560 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 4648261606560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10055261462400).

4648261606560 is an abundant number, since it is smaller than the sum of its proper divisors (15462261318240).

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

4648261606560 is a wasteful number, since it uses less digits than its factorization.

4648261606560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109123 (or 109106 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 4648261606560 in words is "four trillion, six hundred forty-eight billion, two hundred sixty-one million, six hundred six thousand, five hundred sixty".