1630416584160 has 1152 divisors, whose sum is σ = 7213783449600. Its totient is φ = 332862566400.

The previous prime is 1630416584143. The next prime is 1630416584171. The reversal of 1630416584160 is 614856140361.

1630416584160 is a `hidden beast` number, since 1 + 6 + 3 + 0 + 4 + 1 + 6 + 584 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 199045665 + ... + 199053855.

It is an arithmetic number, because the mean of its divisors is an integer number (6261964800).

Almost surely, 2^{1630416584160} is an apocalyptic number.

1630416584160 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 1630416584160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3606891724800).

1630416584160 is an abundant number, since it is smaller than the sum of its proper divisors (5583366865440).

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

1630416584160 is a wasteful number, since it uses less digits than its factorization.

1630416584160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8277 (or 8252 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1630416584160 in words is "one trillion, six hundred thirty billion, four hundred sixteen million, five hundred eighty-four thousand, one hundred sixty".