4713377760 has 288 divisors, whose sum is σ = 19796736960. Its totient is φ = 994443264.

The previous prime is 4713377749. The next prime is 4713377761. The reversal of 4713377760 is 677733174.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4713377761) 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, 113056 + ... + 149024.

It is an arithmetic number, because the mean of its divisors is an integer number (68738670).

Almost surely, 2^4713377760 is an apocalyptic number.

4713377760 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 4713377760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9898368480).

4713377760 is an abundant number, since it is smaller than the sum of its proper divisors (15083359200).

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

4713377760 is a wasteful number, since it uses less digits than its factorization.

4713377760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36010 (or 35999 counting only the distinct ones).

The product of its (nonzero) digits is 518616, while the sum is 45.

The square root of 4713377760 is about 68654.0440178144. The cubic root of 4713377760 is about 1676.6564452727.

The spelling of 4713377760 in words is "four billion, seven hundred thirteen million, three hundred seventy-seven thousand, seven hundred sixty".