4801764240 has 800 divisors, whose sum is σ = 21778606080. Its totient is φ = 951533568.

The previous prime is 4801764217. The next prime is 4801764277. The reversal of 4801764240 is 424671084.

4801764240 is a `hidden beast` number, since 4 + 8 + 0 + 1 + 7 + 642 + 4 + 0 = 666.

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 = 4801764195 and 4801764204.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10024321 + ... + 10024799.

Almost surely, 2^4801764240 is an apocalyptic number.

4801764240 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 4801764240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10889303040).

4801764240 is an abundant number, since it is smaller than the sum of its proper divisors (16976841840).

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

4801764240 is a wasteful number, since it uses less digits than its factorization.

4801764240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4801764240 is about 69294.7634385168. The cubic root of 4801764240 is about 1687.0719744057.

It can be divided in two parts, 480176 and 4240, that added together give a square (484416 = 696²).

The spelling of 4801764240 in words is "four billion, eight hundred one million, seven hundred sixty-four thousand, two hundred forty".