4894212960 has 720 divisors, whose sum is σ = 21894346656. Its totient is φ = 971882496.

The previous prime is 4894212959. The next prime is 4894213067. The reversal of 4894212960 is 692124984.

4894212960 is a `hidden beast` number, since 489 + 42 + 129 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 287894872 + ... + 287894888.

Almost surely, 2^4894212960 is an apocalyptic number.

4894212960 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 4894212960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10947173328).

4894212960 is an abundant number, since it is smaller than the sum of its proper divisors (17000133696).

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

4894212960 is a wasteful number, since it uses less digits than its factorization.

4894212960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4894212960 is about 69958.6517880383. The cubic root of 4894212960 is about 1697.8303301188.

The spelling of 4894212960 in words is "four billion, eight hundred ninety-four million, two hundred twelve thousand, nine hundred sixty".