1630267200900 has 288 divisors, whose sum is σ = 5796711070080. Its totient is φ = 390450378240.

The previous prime is 1630267200899. The next prime is 1630267201027. The reversal of 1630267200900 is 90027620361.

1630267200900 is a `hidden beast` number, since 1 + 6 + 302 + 67 + 200 + 90 + 0 = 666.

It is a super-2 number, since 2×1630267200900² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 671047 + ... + 1926353.

Almost surely, 2^{1630267200900} is an apocalyptic number.

1630267200900 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 1630267200900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2898355535040).

1630267200900 is an abundant number, since it is smaller than the sum of its proper divisors (4166443869180).

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

1630267200900 is a wasteful number, since it uses less digits than its factorization.

1630267200900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255380 (or 1255367 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 1630267200900 in words is "one trillion, six hundred thirty billion, two hundred sixty-seven million, two hundred thousand, nine hundred".