10062006724 has 36 divisors (see below), whose sum is σ = 22345500240. Its totient is φ = 3920261520.

The previous prime is 10062006707. The next prime is 10062006727. The reversal of 10062006724 is 42760026001.

10062006724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10062006692 and 10062006701.

It is not an unprimeable number, because it can be changed into a prime (10062006727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2331334 + ... + 2335645.

It is an arithmetic number, because the mean of its divisors is an integer number (620708340).

Almost surely, 2^10062006724 is an apocalyptic number.

10062006724 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10062006724 is an abundant number, since it is smaller than the sum of its proper divisors (12283493516).

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

10062006724 is a wasteful number, since it uses less digits than its factorization.

10062006724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4667008 (or 4666999 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 10062006724 in words is "ten billion, sixty-two million, six thousand, seven hundred twenty-four".