4507998973920 has 1440 divisors, whose sum is σ = 18182227140000. Its totient is φ = 1044383735808.

The previous prime is 4507998973883. The next prime is 4507998973987. The reversal of 4507998973920 is 293798997054.

4507998973920 is a `hidden beast` number, since 4 + 507 + 9 + 9 + 8 + 97 + 3 + 9 + 20 = 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 (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9034065831 + ... + 9034066329.

It is an arithmetic number, because the mean of its divisors is an integer number (12626546625).

Almost surely, 2^{4507998973920} is an apocalyptic number.

4507998973920 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 4507998973920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9091113570000).

4507998973920 is an abundant number, since it is smaller than the sum of its proper divisors (13674228166080).

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

4507998973920 is a wasteful number, since it uses less digits than its factorization.

4507998973920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 4507998973920 in words is "four trillion, five hundred seven billion, nine hundred ninety-eight million, nine hundred seventy-three thousand, nine hundred twenty".