1630480449600 has 336 divisors, whose sum is σ = 6004995864000. Its totient is φ = 430311260160.

The previous prime is 1630480449589. The next prime is 1630480449617. The reversal of 1630480449600 is 69440840361.

1630480449600 is a `hidden beast` number, since 1 + 6 + 30 + 4 + 8 + 0 + 4 + 4 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3995851 + ... + 4384949.

It is an arithmetic number, because the mean of its divisors is an integer number (17872011500).

Almost surely, 2^{1630480449600} is an apocalyptic number.

1630480449600 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 1630480449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002497932000).

1630480449600 is an abundant number, since it is smaller than the sum of its proper divisors (4374515414400).

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

1630480449600 is a wasteful number, since it uses less digits than its factorization.

1630480449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389227 (or 389206 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 1630480449600 in words is "one trillion, six hundred thirty billion, four hundred eighty million, four hundred forty-nine thousand, six hundred".