4955033664 has 189 divisors, whose sum is σ = 16561043967. Its totient is φ = 1412345088.

The previous prime is 4955033627. The next prime is 4955033689. The reversal of 4955033664 is 4663305594.

The square root of 4955033664 is 70392.

It is a perfect power (a square), and thus also a powerful number.

4955033664 is a `hidden beast` number, since 4 + 9 + 550 + 3 + 36 + 64 = 666.

It is a super-2 number, since 2×4955033664² = 49104717222746529792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11825647 + ... + 11826065.

Almost surely, 2^4955033664 is an apocalyptic number.

4955033664 is the 70392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4955033664

4955033664 is an abundant number, since it is smaller than the sum of its proper divisors (11606010303).

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

4955033664 is an equidigital number, since it uses as much as digits as its factorization.

4955033664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The cubic root of 4955033664 is about 1704.8344124727.

The spelling of 4955033664 in words is "four billion, nine hundred fifty-five million, thirty-three thousand, six hundred sixty-four".