4897777984 has 168 divisors, whose sum is σ = 11206840680. Its totient is φ = 2119434240.

The previous prime is 4897777961. The next prime is 4897777999.

4897777984 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 15681600 + 4882096384 = 3960^2 + 69872^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25376992 + ... + 25377184.

It is an arithmetic number, because the mean of its divisors is an integer number (66707385).

Almost surely, 2^4897777984 is an apocalyptic number.

4897777984 is a gapful number since it is divisible by the number (44) 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 4897777984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5603420340).

4897777984 is an abundant number, since it is smaller than the sum of its proper divisors (6309062696).

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

4897777984 is a wasteful number, since it uses less digits than its factorization.

4897777984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 348 counting only the distinct ones).

The product of its digits is 199148544, while the sum is 70.

The square root of 4897777984 is about 69984.1266574071. The cubic root of 4897777984 is about 1698.2424724363.

The spelling of 4897777984 in words is "four billion, eight hundred ninety-seven million, seven hundred seventy-seven thousand, nine hundred eighty-four".