4522007761920 has 704 divisors, whose sum is σ = 17748264257280. Its totient is φ = 1096214446080.

The previous prime is 4522007761903. The next prime is 4522007761933. The reversal of 4522007761920 is 291677002254.

4522007761920 is a `hidden beast` number, since 4 + 5 + 2 + 2 + 0 + 0 + 7 + 7 + 619 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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 63 ways as a sum of consecutive naturals, for example, 123153484 + ... + 123190196.

Almost surely, 2^{4522007761920} is an apocalyptic number.

4522007761920 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 4522007761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8874132128640).

4522007761920 is an abundant number, since it is smaller than the sum of its proper divisors (13226256495360).

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

4522007761920 is an equidigital number, since it uses as much as digits as its factorization.

4522007761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36770 (or 36734 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 4522007761920 in words is "four trillion, five hundred twenty-two billion, seven million, seven hundred sixty-one thousand, nine hundred twenty".