4846564800 has 1344 divisors, whose sum is σ = 23221370880. Its totient is φ = 953856000.

The previous prime is 4846564747. The next prime is 4846564817. The reversal of 4846564800 is 84656484.

4846564800 is a `hidden beast` number, since 4 + 8 + 4 + 6 + 564 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×4846564800³ (a number of 30 digits) contains 333 as substring.

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 191 ways as a sum of consecutive naturals, for example, 103118377 + ... + 103118423.

Almost surely, 2^4846564800 is an apocalyptic number.

4846564800 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 4846564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11610685440).

4846564800 is an abundant number, since it is smaller than the sum of its proper divisors (18374806080).

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

4846564800 is a wasteful number, since it uses less digits than its factorization.

4846564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 4846564800 is about 69617.2737185248. The cubic root of 4846564800 is about 1692.3025463713.

The spelling of 4846564800 in words is "four billion, eight hundred forty-six million, five hundred sixty-four thousand, eight hundred".