664567453672056 has 192 divisors, whose sum is σ = 2003278515638400. Its totient is φ = 197325927187200.

The previous prime is 664567453672039. The next prime is 664567453672081. The reversal of 664567453672056 is 650276354765466.

664567453672056 is a `hidden beast` number, since 6 + 6 + 4 + 5 + 67 + 4 + 536 + 7 + 20 + 5 + 6 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8817435 + ... + 37508426.

It is an arithmetic number, because the mean of its divisors is an integer number (10433742268950).

Almost surely, 2^{664567453672056} is an apocalyptic number.

664567453672056 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

664567453672056 is an abundant number, since it is smaller than the sum of its proper divisors (1338711061966344).

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

664567453672056 is a wasteful number, since it uses less digits than its factorization.

664567453672056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46326250 (or 46326243 counting only the distinct ones).

The product of its (nonzero) digits is 4572288000, while the sum is 72.

The spelling of 664567453672056 in words is "six hundred sixty-four trillion, five hundred sixty-seven billion, four hundred fifty-three million, six hundred seventy-two thousand, fifty-six".