66837258006564 has 24 divisors (see below), whose sum is σ = 155983178040480. Its totient is φ = 22274860855744.

The previous prime is 66837258006439. The next prime is 66837258006593. The reversal of 66837258006564 is 46560085273866.

It is a junction number, because it is equal to n+sod(n) for n = 66837258006495 and 66837258006504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 528077394 + ... + 528203945.

It is an arithmetic number, because the mean of its divisors is an integer number (6499299085020).

Almost surely, 2^{66837258006564} is an apocalyptic number.

It is an amenable number.

66837258006564 is an abundant number, since it is smaller than the sum of its proper divisors (89145920033916).

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

66837258006564 is a wasteful number, since it uses less digits than its factorization.

66837258006564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056286619 (or 1056286617 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 66.

The spelling of 66837258006564 in words is "sixty-six trillion, eight hundred thirty-seven billion, two hundred fifty-eight million, six thousand, five hundred sixty-four".