10647434617506 has 64 divisors (see below), whose sum is σ = 23804810184960. Its totient is φ = 3527572083840.

The previous prime is 10647434617397. The next prime is 10647434617577. The reversal of 10647434617506 is 60571643474601.

10647434617506 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 74 + 3 + 4 + 61 + 7 + 506 = 666.

It is a super-2 number, since 2×10647434617506² (a number of 27 digits) contains 22 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, 112289836 + ... + 112384616.

It is an arithmetic number, because the mean of its divisors is an integer number (371950159140).

Almost surely, 2^{10647434617506} is an apocalyptic number.

10647434617506 is an abundant number, since it is smaller than the sum of its proper divisors (13157375567454).

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

10647434617506 is a wasteful number, since it uses less digits than its factorization.

10647434617506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107416 (or 107410 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 10647434617506 in words is "ten trillion, six hundred forty-seven billion, four hundred thirty-four million, six hundred seventeen thousand, five hundred six".