4540521763008 has 2688 divisors, whose sum is σ = 19095207936000. Its totient is φ = 1029716582400.

The previous prime is 4540521762859. The next prime is 4540521763073. The reversal of 4540521763008 is 8003671250454.

4540521763008 is a `hidden beast` number, since 4 + 5 + 4 + 0 + 5 + 2 + 1 + 7 + 630 + 0 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19827605838 + ... + 19827606066.

It is an arithmetic number, because the mean of its divisors is an integer number (7103872000).

Almost surely, 2^{4540521763008} is an apocalyptic number.

4540521763008 is a gapful number since it is divisible by the number (48) 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 4540521763008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9547603968000).

4540521763008 is an abundant number, since it is smaller than the sum of its proper divisors (14554686172992).

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

4540521763008 is a wasteful number, since it uses less digits than its factorization.

4540521763008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 4540521763008 in words is "four trillion, five hundred forty billion, five hundred twenty-one million, seven hundred sixty-three thousand, eight".