66587917076352 has 256 divisors, whose sum is σ = 230672431411200. Its totient is φ = 18510926505984.

The previous prime is 66587917076339. The next prime is 66587917076383. The reversal of 66587917076352 is 25367071978566.

It is a happy number.

66587917076352 is a `hidden beast` number, since 6 + 6 + 58 + 7 + 91 + 70 + 76 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 36300528 + ... + 38090735.

It is an arithmetic number, because the mean of its divisors is an integer number (901064185200).

Almost surely, 2^{66587917076352} is an apocalyptic number.

It is an amenable number.

66587917076352 is an abundant number, since it is smaller than the sum of its proper divisors (164084514334848).

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

66587917076352 is a wasteful number, since it uses less digits than its factorization.

66587917076352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74391330 (or 74391312 counting only the distinct ones).

The product of its (nonzero) digits is 800150400, while the sum is 72.

The spelling of 66587917076352 in words is "sixty-six trillion, five hundred eighty-seven billion, nine hundred seventeen million, seventy-six thousand, three hundred fifty-two".