10724711376906 has 64 divisors (see below), whose sum is σ = 24723015206400. Its totient is φ = 3443562720000.

The previous prime is 10724711376859. The next prime is 10724711376919. The reversal of 10724711376906 is 60967311742701.

10724711376906 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 471 + 13 + 76 + 90 + 6 = 666.

It is a super-3 number, since 3×10724711376906³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30483595 + ... + 30833406.

It is an arithmetic number, because the mean of its divisors is an integer number (386297112600).

Almost surely, 2^{10724711376906} is an apocalyptic number.

10724711376906 is an abundant number, since it is smaller than the sum of its proper divisors (13998303829494).

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

10724711376906 is a wasteful number, since it uses less digits than its factorization.

10724711376906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61317132 (or 61317126 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 10724711376906 in words is "ten trillion, seven hundred twenty-four billion, seven hundred eleven million, three hundred seventy-six thousand, nine hundred six".