4777274880 has 480 divisors, whose sum is σ = 19916582400. Its totient is φ = 1033814016.

The previous prime is 4777274791. The next prime is 4777274881. The reversal of 4777274880 is 884727774.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4777274881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3063541 + ... + 3065099.

It is an arithmetic number, because the mean of its divisors is an integer number (41492880).

Almost surely, 2^4777274880 is an apocalyptic number.

4777274880 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 4777274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9958291200).

4777274880 is an abundant number, since it is smaller than the sum of its proper divisors (15139307520).

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

4777274880 is a wasteful number, since it uses less digits than its factorization.

4777274880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 4917248, while the sum is 54.

The square root of 4777274880 is about 69117.8332993736. The cubic root of 4777274880 is about 1684.1990199652.

The spelling of 4777274880 in words is "four billion, seven hundred seventy-seven million, two hundred seventy-four thousand, eight hundred eighty".