1630025793792 has 270 divisors, whose sum is σ = 5342477505134. Its totient is φ = 493946449920.

The previous prime is 1630025793787. The next prime is 1630025793827. The reversal of 1630025793792 is 2973975200361.

1630025793792 is a `hidden beast` number, since 1 + 6 + 30 + 0 + 2 + 579 + 37 + 9 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 992685424896 + 637340368896 = 996336^2 + 798336^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2184228 + ... + 2833884.

Almost surely, 2^{1630025793792} is an apocalyptic number.

1630025793792 is a gapful number since it is divisible by the number (12) 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 1630025793792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671238752567).

1630025793792 is an abundant number, since it is smaller than the sum of its proper divisors (3712451711342).

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

1630025793792 is an equidigital number, since it uses as much as digits as its factorization.

1630025793792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649707 (or 649673 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 1630025793792 in words is "one trillion, six hundred thirty billion, twenty-five million, seven hundred ninety-three thousand, seven hundred ninety-two".