4646436160 has 56 divisors (see below), whose sum is σ = 11103915816. Its totient is φ = 1851924480.

The previous prime is 4646436139. The next prime is 4646436167. The reversal of 4646436160 is 616346464.

It can be written as a sum of positive squares in 4 ways, for example, as 2165599296 + 2480836864 = 46536^2 + 49808^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4646436167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64084 + ... + 115756.

It is an arithmetic number, because the mean of its divisors is an integer number (198284211).

Almost surely, 2^4646436160 is an apocalyptic number.

4646436160 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 4646436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5551957908).

4646436160 is an abundant number, since it is smaller than the sum of its proper divisors (6457479656).

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

4646436160 is a wasteful number, since it uses less digits than its factorization.

4646436160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51971 (or 51961 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The square root of 4646436160 is about 68164.7721334121. The cubic root of 4646436160 is about 1668.6810147713.

The spelling of 4646436160 in words is "four billion, six hundred forty-six million, four hundred thirty-six thousand, one hundred sixty".