1672563330 has 160 divisors (see below), whose sum is σ = 4616663040. Its totient is φ = 434367360.

The previous prime is 1672563317. The next prime is 1672563353. The reversal of 1672563330 is 333652761.

1672563330 is a `hidden beast` number, since 1 + 67 + 2 + 563 + 3 + 30 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7303656 + ... + 7303884.

It is an arithmetic number, because the mean of its divisors is an integer number (28854144).

Almost surely, 2^1672563330 is an apocalyptic number.

1672563330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1672563330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308331520).

1672563330 is an abundant number, since it is smaller than the sum of its proper divisors (2944099710).

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

1672563330 is a wasteful number, since it uses less digits than its factorization.

1672563330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 1672563330 is about 40896.9843631532. The cubic root of 1672563330 is about 1187.0277092129.

The spelling of 1672563330 in words is "one billion, six hundred seventy-two million, five hundred sixty-three thousand, three hundred thirty".