4924629964800 has 1440 divisors, whose sum is σ = 22450680252000. Its totient is φ = 1038963179520.

The previous prime is 4924629964747. The next prime is 4924629964841. The reversal of 4924629964800 is 84699264294.

4924629964800 is a `hidden beast` number, since 4 + 9 + 2 + 4 + 62 + 9 + 96 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 377388676 + ... + 377401724.

It is an arithmetic number, because the mean of its divisors is an integer number (15590750175).

Almost surely, 2^{4924629964800} is an apocalyptic number.

4924629964800 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 4924629964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11225340126000).

4924629964800 is an abundant number, since it is smaller than the sum of its proper divisors (17526050287200).

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

4924629964800 is a wasteful number, since it uses less digits than its factorization.

4924629964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13113 (or 13079 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 4924629964800 in words is "four trillion, nine hundred twenty-four billion, six hundred twenty-nine million, nine hundred sixty-four thousand, eight hundred".