4780638720 has 480 divisors, whose sum is σ = 19464629184. Its totient is φ = 1069056000.

The previous prime is 4780638713. The next prime is 4780638721. The reversal of 4780638720 is 278360874.

It is a happy number.

4780638720 is a `hidden beast` number, since 4 + 7 + 8 + 0 + 638 + 7 + 2 + 0 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (4780638721) 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, 3293995 + ... + 3295445.

Almost surely, 2^4780638720 is an apocalyptic number.

4780638720 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 4780638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9732314592).

4780638720 is an abundant number, since it is smaller than the sum of its proper divisors (14683990464).

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

4780638720 is a wasteful number, since it uses less digits than its factorization.

4780638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 4780638720 is about 69142.1631133999. The cubic root of 4780638720 is about 1684.5942276214.

The spelling of 4780638720 in words is "four billion, seven hundred eighty million, six hundred thirty-eight thousand, seven hundred twenty".