4974087553920 has 640 divisors, whose sum is σ = 18397271534400. Its totient is φ = 1279195545600.

The previous prime is 4974087553909. The next prime is 4974087553927. The reversal of 4974087553920 is 293557804794.

4974087553920 is a `hidden beast` number, since 4 + 9 + 7 + 4 + 0 + 8 + 75 + 539 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4974087553927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1949856645 + ... + 1949859195.

Almost surely, 2^{4974087553920} is an apocalyptic number.

4974087553920 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 4974087553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9198635767200).

4974087553920 is an abundant number, since it is smaller than the sum of its proper divisors (13423183980480).

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

4974087553920 is a wasteful number, since it uses less digits than its factorization.

4974087553920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 4974087553920 in words is "four trillion, nine hundred seventy-four billion, eighty-seven million, five hundred fifty-three thousand, nine hundred twenty".