66871008313536 has 336 divisors, whose sum is σ = 213444053111040. Its totient is φ = 18097339852800.

The previous prime is 66871008313511. The next prime is 66871008313553. The reversal of 66871008313536 is 63531380017866.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5677132095 + ... + 5677143873.

Almost surely, 2^{66871008313536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66871008313536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106722026555520).

66871008313536 is an abundant number, since it is smaller than the sum of its proper divisors (146573044797504).

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

66871008313536 is a wasteful number, since it uses less digits than its factorization.

66871008313536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23540 (or 23511 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 66871008313536 in words is "sixty-six trillion, eight hundred seventy-one billion, eight million, three hundred thirteen thousand, five hundred thirty-six".