4661933328 has 120 divisors (see below), whose sum is σ = 14790164480. Its totient is φ = 1358933760.

The previous prime is 4661933327. The next prime is 4661933329. The reversal of 4661933328 is 8233391664.

4661933328 is a `hidden beast` number, since 4 + 6 + 619 + 3 + 3 + 3 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (4661933327) and next prime (4661933329).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4661933327) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 29968 + ... + 101103.

Almost surely, 2^4661933328 is an apocalyptic number.

4661933328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4661933328 is an abundant number, since it is smaller than the sum of its proper divisors (10128231152).

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

4661933328 is a wasteful number, since it uses less digits than its factorization.

4661933328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131117 (or 131108 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 4661933328 is about 68278.3518254505. The cubic root of 4661933328 is about 1670.5341291698.

The spelling of 4661933328 in words is "four billion, six hundred sixty-one million, nine hundred thirty-three thousand, three hundred twenty-eight".