4786320240 has 320 divisors, whose sum is σ = 18528814080. Its totient is φ = 1126794240.

The previous prime is 4786320223. The next prime is 4786320257. The reversal of 4786320240 is 420236874.

It is an interprime number because it is at equal distance from previous prime (4786320223) and next prime (4786320257).

It is a super-2 number, since 2×4786320240² = 45817722879667315200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4786320195 and 4786320204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 642135 + ... + 649545.

It is an arithmetic number, because the mean of its divisors is an integer number (57902544).

Almost surely, 2^4786320240 is an apocalyptic number.

4786320240 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 4786320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9264407040).

4786320240 is an abundant number, since it is smaller than the sum of its proper divisors (13742493840).

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

4786320240 is a wasteful number, since it uses less digits than its factorization.

4786320240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7469 (or 7457 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4786320240 is about 69183.2366979169. The cubic root of 4786320240 is about 1685.2613118964.

The spelling of 4786320240 in words is "four billion, seven hundred eighty-six million, three hundred twenty thousand, two hundred forty".