4894746624 has 384 divisors, whose sum is σ = 15850598400. Its totient is φ = 1486356480.

The previous prime is 4894746611. The next prime is 4894746629. The reversal of 4894746624 is 4266474984.

4894746624 is a `hidden beast` number, since 4 + 8 + 9 + 4 + 7 + 4 + 6 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (9289728) is a multiple of the sum of its prime factors (216).

It is not an unprimeable number, because it can be changed into a prime (4894746629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38541249 + ... + 38541375.

It is an arithmetic number, because the mean of its divisors is an integer number (41277600).

Almost surely, 2^4894746624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4894746624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7925299200).

4894746624 is an abundant number, since it is smaller than the sum of its proper divisors (10955851776).

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

4894746624 is a wasteful number, since it uses less digits than its factorization.

4894746624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 190 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The square root of 4894746624 is about 69962.4658227538. The cubic root of 4894746624 is about 1697.8920382356.

The spelling of 4894746624 in words is "four billion, eight hundred ninety-four million, seven hundred forty-six thousand, six hundred twenty-four".