4920517324800 has 2496 divisors, whose sum is σ = 23342855961600. Its totient is φ = 985949798400.

The previous prime is 4920517324783. The next prime is 4920517324819. The reversal of 4920517324800 is 84237150294.

4920517324800 is a `hidden beast` number, since 4 + 9 + 20 + 517 + 32 + 4 + 80 + 0 = 666.

It is a super-2 number, since 2×4920517324800² (a number of 26 digits) contains 22 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, 6173798002 + ... + 6173798798.

Almost surely, 2^{4920517324800} is an apocalyptic number.

4920517324800 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 4920517324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11671427980800).

4920517324800 is an abundant number, since it is smaller than the sum of its proper divisors (18422338636800).

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

4920517324800 is a wasteful number, since it uses less digits than its factorization.

4920517324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 4920517324800 in words is "four trillion, nine hundred twenty billion, five hundred seventeen million, three hundred twenty-four thousand, eight hundred".