10429674990 has 192 divisors, whose sum is σ = 30529820160. Its totient is φ = 2269344000.

The previous prime is 10429674979. The next prime is 10429675021. The reversal of 10429674990 is 9947692401.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8485696 + ... + 8486924.

It is an arithmetic number, because the mean of its divisors is an integer number (159009480).

Almost surely, 2^10429674990 is an apocalyptic number.

10429674990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10429674990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15264910080).

10429674990 is an abundant number, since it is smaller than the sum of its proper divisors (20100145170).

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

10429674990 is a wasteful number, since it uses less digits than its factorization.

10429674990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 10429674990 in words is "ten billion, four hundred twenty-nine million, six hundred seventy-four thousand, nine hundred ninety".