10430671680 has 1344 divisors, whose sum is σ = 46864097280. Its totient is φ = 2090188800.

The previous prime is 10430671631. The next prime is 10430671681. The reversal of 10430671680 is 8617603401.

10430671680 is a `hidden beast` number, since 1 + 0 + 430 + 67 + 168 + 0 = 666.

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

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10430671681) 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, 242573739 + ... + 242573781.

It is an arithmetic number, because the mean of its divisors is an integer number (34869120).

Almost surely, 2^10430671680 is an apocalyptic number.

10430671680 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 10430671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23432048640).

10430671680 is an abundant number, since it is smaller than the sum of its proper divisors (36433425600).

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

10430671680 is a wasteful number, since it uses less digits than its factorization.

10430671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10430671680 in words is "ten billion, four hundred thirty million, six hundred seventy-one thousand, six hundred eighty".