4827165840 has 480 divisors, whose sum is σ = 20235371520. Its totient is φ = 1044721152.

The previous prime is 4827165839. The next prime is 4827165869. The reversal of 4827165840 is 485617284.

4827165840 is a `hidden beast` number, since 48 + 27 + 1 + 6 + 584 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2584587 + ... + 2586453.

It is an arithmetic number, because the mean of its divisors is an integer number (42157024).

Almost surely, 2^4827165840 is an apocalyptic number.

4827165840 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 4827165840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10117685760).

4827165840 is an abundant number, since it is smaller than the sum of its proper divisors (15408205680).

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

4827165840 is a wasteful number, since it uses less digits than its factorization.

4827165840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 4827165840 is about 69477.8082555862. The cubic root of 4827165840 is about 1690.0416455081.

The spelling of 4827165840 in words is "four billion, eight hundred twenty-seven million, one hundred sixty-five thousand, eight hundred forty".