1630763101000 has 192 divisors, whose sum is σ = 4200567462000. Its totient is φ = 592137216000.

The previous prime is 1630763100979. The next prime is 1630763101027. The reversal of 1630763101000 is 1013670361.

It can be written as a sum of positive squares in 8 ways, for example, as 42593529924 + 1588169571076 = 206382^2 + 1260226^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1630763101000.

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, 85779496 + ... + 85798504.

Almost surely, 2^{1630763101000} is an apocalyptic number.

1630763101000 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 1630763101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100283731000).

1630763101000 is an abundant number, since it is smaller than the sum of its proper divisors (2569804361000).

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

1630763101000 is a wasteful number, since it uses less digits than its factorization.

1630763101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19761 (or 19736 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

Adding to 1630763101000 its reverse (1013670361), we get a palindrome (1631776771361).

The spelling of 1630763101000 in words is "one trillion, six hundred thirty billion, seven hundred sixty-three million, one hundred one thousand".