4146642720 has 960 divisors, whose sum is σ = 17782934400. Its totient is φ = 898007040.

The previous prime is 4146642719. The next prime is 4146642793. The reversal of 4146642720 is 272466414.

4146642720 is a `hidden beast` number, since 4 + 1 + 4 + 6 + 642 + 7 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 70282051 + ... + 70282109.

It is an arithmetic number, because the mean of its divisors is an integer number (18523890).

Almost surely, 2^4146642720 is an apocalyptic number.

4146642720 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 4146642720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8891467200).

4146642720 is an abundant number, since it is smaller than the sum of its proper divisors (13636291680).

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

4146642720 is a wasteful number, since it uses less digits than its factorization.

4146642720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 126 counting only the distinct ones).

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

The square root of 4146642720 is about 64394.4308150946. The cubic root of 4146642720 is about 1606.5671129314.

The spelling of 4146642720 in words is "four billion, one hundred forty-six million, six hundred forty-two thousand, seven hundred twenty".