1630890984640 has 448 divisors, whose sum is σ = 4351878316800. Its totient is φ = 579877208064.

The previous prime is 1630890984587. The next prime is 1630890984683. The reversal of 1630890984640 is 464890980361.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 766035096 + ... + 766037224.

It is an arithmetic number, because the mean of its divisors is an integer number (9714014100).

Almost surely, 2^{1630890984640} is an apocalyptic number.

1630890984640 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 1630890984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175939158400).

1630890984640 is an abundant number, since it is smaller than the sum of its proper divisors (2720987332160).

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

1630890984640 is a wasteful number, since it uses less digits than its factorization.

1630890984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 58.

The spelling of 1630890984640 in words is "one trillion, six hundred thirty billion, eight hundred ninety million, nine hundred eighty-four thousand, six hundred forty".