9180801630 has 640 divisors, whose sum is σ = 33838801920. Its totient is φ = 1734670080.

The previous prime is 9180801611. The next prime is 9180801671. The reversal of 9180801630 is 361080819.

9180801630 is a `hidden beast` number, since 9 + 18 + 0 + 8 + 0 + 1 + 630 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 137026857 + ... + 137026923.

It is an arithmetic number, because the mean of its divisors is an integer number (52873128).

Almost surely, 2^9180801630 is an apocalyptic number.

9180801630 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9180801630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16919400960).

9180801630 is an abundant number, since it is smaller than the sum of its proper divisors (24658000290).

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

9180801630 is a wasteful number, since it uses less digits than its factorization.

9180801630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 9180801630 is about 95816.4997795265. The cubic root of 9180801630 is about 2093.9205600359.

The spelling of 9180801630 in words is "nine billion, one hundred eighty million, eight hundred one thousand, six hundred thirty".