4630754506752 has 1536 divisors, whose sum is σ = 16742194560000. Its totient is φ = 1248539443200.

The previous prime is 4630754506717. The next prime is 4630754506789. The reversal of 4630754506752 is 2576054570364.

4630754506752 is a `hidden beast` number, since 4 + 6 + 30 + 7 + 54 + 506 + 7 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 13741111128 + ... + 13741111464.

It is an arithmetic number, because the mean of its divisors is an integer number (10899866250).

Almost surely, 2^{4630754506752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4630754506752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8371097280000).

4630754506752 is an abundant number, since it is smaller than the sum of its proper divisors (12111440053248).

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

4630754506752 is a wasteful number, since it uses less digits than its factorization.

4630754506752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 54.

The spelling of 4630754506752 in words is "four trillion, six hundred thirty billion, seven hundred fifty-four million, five hundred six thousand, seven hundred fifty-two".