1630470280320 has 1152 divisors, whose sum is σ = 7150117665600. Its totient is φ = 353032888320.

The previous prime is 1630470280267. The next prime is 1630470280331. The reversal of 1630470280320 is 230820740361.

It is a happy number.

1630470280320 is a `hidden beast` number, since 1 + 6 + 304 + 7 + 0 + 28 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 144783490 + ... + 144794750.

Almost surely, 2^{1630470280320} is an apocalyptic number.

1630470280320 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 1630470280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575058832800).

1630470280320 is an abundant number, since it is smaller than the sum of its proper divisors (5519647385280).

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

1630470280320 is a wasteful number, since it uses less digits than its factorization.

1630470280320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11328 (or 11297 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 1630470280320 in words is "one trillion, six hundred thirty billion, four hundred seventy million, two hundred eighty thousand, three hundred twenty".