10067473152 has 720 divisors, whose sum is σ = 36326949120. Its totient is φ = 2737152000.

The previous prime is 10067473127. The next prime is 10067473183. The reversal of 10067473152 is 25137476001.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 99677902 + ... + 99678002.

It is an arithmetic number, because the mean of its divisors is an integer number (50454096).

Almost surely, 2^10067473152 is an apocalyptic number.

10067473152 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 10067473152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18163474560).

10067473152 is an abundant number, since it is smaller than the sum of its proper divisors (26259475968).

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

10067473152 is a wasteful number, since it uses less digits than its factorization.

10067473152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 10067473152 in words is "ten billion, sixty-seven million, four hundred seventy-three thousand, one hundred fifty-two".