1630720512000 has 1456 divisors, whose sum is σ = 6485954494032. Its totient is φ = 407686348800.

The previous prime is 1630720511999. The next prime is 1630720512007. The reversal of 1630720512000 is 2150270361.

It is a happy number.

1630720512000 is a `hidden beast` number, since 1 + 630 + 7 + 2 + 0 + 5 + 1 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 26384154624 + 1604336357376 = 162432^2 + 1266624^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1630720512007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6345215872 + ... + 6345216128.

Almost surely, 2^{1630720512000} is an apocalyptic number.

1630720512000 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 1630720512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242977247016).

1630720512000 is an abundant number, since it is smaller than the sum of its proper divisors (4855233982032).

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

1630720512000 is an frugal number, since it uses more digits than its factorization.

1630720512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 1630720512000 its reverse (2150270361), we get a palindrome (1632870782361).

The spelling of 1630720512000 in words is "one trillion, six hundred thirty billion, seven hundred twenty million, five hundred twelve thousand".