1630402405632 has 1728 divisors, whose sum is σ = 6878279116800. Its totient is φ = 357282938880.

The previous prime is 1630402405579. The next prime is 1630402405633. The reversal of 1630402405632 is 2365042040361.

1630402405632 is a `hidden beast` number, since 1 + 6 + 30 + 40 + 24 + 0 + 563 + 2 = 666.

It is a super-2 number, since 2×1630402405632² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1630402405633) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1270772863 + ... + 1270774145.

It is an arithmetic number, because the mean of its divisors is an integer number (3980485600).

Almost surely, 2^{1630402405632} is an apocalyptic number.

1630402405632 is a gapful number since it is divisible by the number (12) 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 1630402405632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439139558400).

1630402405632 is an abundant number, since it is smaller than the sum of its proper divisors (5247876711168).

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

1630402405632 is a wasteful number, since it uses less digits than its factorization.

1630402405632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 1630402405632 its reverse (2365042040361), we get a palindrome (3995444445993).

The spelling of 1630402405632 in words is "one trillion, six hundred thirty billion, four hundred two million, four hundred five thousand, six hundred thirty-two".