10076427000 has 512 divisors, whose sum is σ = 38312352000. Its totient is φ = 2438553600.

The previous prime is 10076426993. The next prime is 10076427001. The reversal of 10076427000 is 72467001.

10076427000 is a `hidden beast` number, since 10 + 0 + 7 + 642 + 7 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10076427001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13310622 + ... + 13311378.

Almost surely, 2^10076427000 is an apocalyptic number.

10076427000 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 10076427000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19156176000).

10076427000 is an abundant number, since it is smaller than the sum of its proper divisors (28235925000).

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

10076427000 is a wasteful number, since it uses less digits than its factorization.

10076427000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 10076427000 in words is "ten billion, seventy-six million, four hundred twenty-seven thousand".