8010630432 has 360 divisors, whose sum is σ = 28439522496. Its totient is φ = 2166518016.

The previous prime is 8010630427. The next prime is 8010630457. The reversal of 8010630432 is 2340360108.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 8010630396 and 8010630405.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6549373 + ... + 6550595.

Almost surely, 2^8010630432 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 8010630432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14219761248).

8010630432 is an abundant number, since it is smaller than the sum of its proper divisors (20428892064).

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

8010630432 is a wasteful number, since it uses less digits than its factorization.

8010630432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 8010630432 is about 89502.1252932018. The cubic root of 8010630432 is about 2000.8854772405.

The spelling of 8010630432 in words is "eight billion, ten million, six hundred thirty thousand, four hundred thirty-two".