10067742720 has 936 divisors, whose sum is σ = 43935737664. Its totient is φ = 2165833728.

The previous prime is 10067742709. The next prime is 10067742733. The reversal of 10067742720 is 2724776001.

It is a happy number.

It is a super-2 number, since 2×10067742720² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 592220152 + ... + 592220168.

Almost surely, 2^10067742720 is an apocalyptic number.

10067742720 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 10067742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21967868832).

10067742720 is an abundant number, since it is smaller than the sum of its proper divisors (33867994944).

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

10067742720 is an frugal number, since it uses more digits than its factorization.

10067742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 10067742720 in words is "ten billion, sixty-seven million, seven hundred forty-two thousand, seven hundred twenty".