667469495992320 has 4352 divisors, whose sum is σ = 3078099046195200. Its totient is φ = 133558047866880.

The previous prime is 667469495992297. The next prime is 667469495992357. The reversal of 667469495992320 is 23299594964766.

667469495992320 is a `hidden beast` number, since 6 + 6 + 7 + 4 + 6 + 9 + 495 + 9 + 92 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4352).

It is a self number, because there is not a number n which added to its sum of digits gives 667469495992320.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 1220236738287 + ... + 1220236738833.

Almost surely, 2^{667469495992320} is an apocalyptic number.

667469495992320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667469495992320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539049523097600).

667469495992320 is an abundant number, since it is smaller than the sum of its proper divisors (2410629550202880).

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

667469495992320 is a wasteful number, since it uses less digits than its factorization.

667469495992320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 9523422720, while the sum is 81.

The spelling of 667469495992320 in words is "six hundred sixty-seven trillion, four hundred sixty-nine billion, four hundred ninety-five million, nine hundred ninety-two thousand, three hundred twenty".