4546964160 has 420 divisors, whose sum is σ = 17210056512. Its totient is φ = 1139318784.

The previous prime is 4546964129. The next prime is 4546964171. The reversal of 4546964160 is 614696454.

It is a happy number.

4546964160 is a `hidden beast` number, since 4 + 546 + 9 + 6 + 41 + 60 = 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 59 ways as a sum of consecutive naturals, for example, 7490577 + ... + 7491183.

Almost surely, 2^4546964160 is an apocalyptic number.

4546964160 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 4546964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8605028256).

4546964160 is an abundant number, since it is smaller than the sum of its proper divisors (12663092352).

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

4546964160 is a wasteful number, since it uses less digits than its factorization.

4546964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4546964160 is about 67431.1809180293. The cubic root of 4546964160 is about 1656.6871754271.

The spelling of 4546964160 in words is "four billion, five hundred forty-six million, nine hundred sixty-four thousand, one hundred sixty".