1630118880 has 432 divisors, whose sum is σ = 6302814336. Its totient is φ = 380989440.

The previous prime is 1630118869. The next prime is 1630118887. The reversal of 1630118880 is 888110361.

1630118880 is a `hidden beast` number, since 1 + 630 + 1 + 18 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1630118887) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 30756934 + ... + 30756986.

It is an arithmetic number, because the mean of its divisors is an integer number (14589848).

Almost surely, 2^1630118880 is an apocalyptic number.

1630118880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1630118880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151407168).

1630118880 is an abundant number, since it is smaller than the sum of its proper divisors (4672695456).

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

1630118880 is a wasteful number, since it uses less digits than its factorization.

1630118880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1630118880 is about 40374.7307111763. The cubic root of 1630118880 is about 1176.9005319472.

The spelling of 1630118880 in words is "one billion, six hundred thirty million, one hundred eighteen thousand, eight hundred eighty".