4895777680 has 80 divisors (see below), whose sum is σ = 11829242880. Its totient is φ = 1882105344.

The previous prime is 4895777647. The next prime is 4895777683. The reversal of 4895777680 is 867775984.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4895777683) 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, 512629 + ... + 522091.

It is an arithmetic number, because the mean of its divisors is an integer number (147865536).

Almost surely, 2^4895777680 is an apocalyptic number.

4895777680 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 4895777680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5914621440).

4895777680 is an abundant number, since it is smaller than the sum of its proper divisors (6933465200).

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

4895777680 is a wasteful number, since it uses less digits than its factorization.

4895777680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9728 (or 9722 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 61.

The square root of 4895777680 is about 69969.8340715483. The cubic root of 4895777680 is about 1698.0112475976.

The spelling of 4895777680 in words is "four billion, eight hundred ninety-five million, seven hundred seventy-seven thousand, six hundred eighty".