4644752667552 has 384 divisors, whose sum is σ = 14297479257600. Its totient is φ = 1464736186368.

The previous prime is 4644752667551. The next prime is 4644752667553. The reversal of 4644752667552 is 2557662574464.

4644752667552 is a `hidden beast` number, since 4 + 6 + 4 + 4 + 75 + 2 + 6 + 6 + 7 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (4644752667551) and next prime (4644752667553).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4644752667552.

It is not an unprimeable number, because it can be changed into a prime (4644752667551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1284143248 + ... + 1284146864.

It is an arithmetic number, because the mean of its divisors is an integer number (37233018900).

Almost surely, 2^{4644752667552} 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 4644752667552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7148739628800).

4644752667552 is an abundant number, since it is smaller than the sum of its proper divisors (9652726590048).

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

4644752667552 is a wasteful number, since it uses less digits than its factorization.

4644752667552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4685 (or 4671 counting only the distinct ones).

The product of its digits is 338688000, while the sum is 63.

The spelling of 4644752667552 in words is "four trillion, six hundred forty-four billion, seven hundred fifty-two million, six hundred sixty-seven thousand, five hundred fifty-two".