667791870524064 has 240 divisors, whose sum is σ = 2307306528283680. Its totient is φ = 186794928714240.

The previous prime is 667791870524057. The next prime is 667791870524069. The reversal of 667791870524064 is 460425078197766.

667791870524064 is a `hidden beast` number, since 6 + 6 + 7 + 7 + 91 + 8 + 7 + 0 + 524 + 0 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 667791870523983 and 667791870524001.

It is not an unprimeable number, because it can be changed into a prime (667791870524069) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 900453654 + ... + 901194965.

It is an arithmetic number, because the mean of its divisors is an integer number (9613777201182).

Almost surely, 2^{667791870524064} is an apocalyptic number.

It is an amenable number.

667791870524064 is an abundant number, since it is smaller than the sum of its proper divisors (1639514657759616).

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

667791870524064 is a wasteful number, since it uses less digits than its factorization.

667791870524064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801648665 (or 1801648648 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 667791870524064 in words is "six hundred sixty-seven trillion, seven hundred ninety-one billion, eight hundred seventy million, five hundred twenty-four thousand, sixty-four".