1630438579328 has 256 divisors, whose sum is σ = 3610435248000. Its totient is φ = 728796856320.

The previous prime is 1630438579271. The next prime is 1630438579351. The reversal of 1630438579328 is 8239758340361.

It is a happy number.

It is a super-2 number, since 2×1630438579328² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2142494468 + ... + 2142495228.

It is a 1-persistent number, because it is pandigital, but 2⋅1630438579328 = 3260877158656 is not.

Almost surely, 2^{1630438579328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1630438579328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805217624000).

1630438579328 is an abundant number, since it is smaller than the sum of its proper divisors (1979996668672).

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

1630438579328 is a wasteful number, since it uses less digits than its factorization.

1630438579328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 59.

The spelling of 1630438579328 in words is "one trillion, six hundred thirty billion, four hundred thirty-eight million, five hundred seventy-nine thousand, three hundred twenty-eight".