4780201320 has 192 divisors, whose sum is σ = 16312907520. Its totient is φ = 1211645952.

The previous prime is 4780201319. The next prime is 4780201337. The reversal of 4780201320 is 231020874.

It is a Cunningham number, because it is equal to 69139²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1381032 + ... + 1384488.

It is an arithmetic number, because the mean of its divisors is an integer number (84963060).

Almost surely, 2^4780201320 is an apocalyptic number.

4780201320 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 4780201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8156453760).

4780201320 is an abundant number, since it is smaller than the sum of its proper divisors (11532706200).

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

4780201320 is a wasteful number, since it uses less digits than its factorization.

4780201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4780201320 is about 69138.9999927682. Note that the first 5 decimals coincide. The cubic root of 4780201320 is about 1684.5428492713.

The spelling of 4780201320 in words is "four billion, seven hundred eighty million, two hundred one thousand, three hundred twenty".