4635024768000 has 4224 divisors, whose sum is σ = 21424775823360. Its totient is φ = 985374720000.

The previous prime is 4635024767941. The next prime is 4635024768001. The reversal of 4635024768000 is 8674205364.

4635024768000 is a `hidden beast` number, since 4 + 63 + 502 + 4 + 7 + 6 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4635024768001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 149516927985 + ... + 149516928015.

Almost surely, 2^{4635024768000} is an apocalyptic number.

4635024768000 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 4635024768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10712387911680).

4635024768000 is an abundant number, since it is smaller than the sum of its proper divisors (16789751055360).

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

4635024768000 is a wasteful number, since it uses less digits than its factorization.

4635024768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 4635024768000 in words is "four trillion, six hundred thirty-five billion, twenty-four million, seven hundred sixty-eight thousand".