663170336640 has 512 divisors, whose sum is σ = 2693884953600. Its totient is φ = 151038369792.

The previous prime is 663170336603. The next prime is 663170336659. The reversal of 663170336640 is 46633071366.

663170336640 is a `hidden beast` number, since 6 + 631 + 7 + 0 + 3 + 3 + 6 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34221994 + ... + 34241366.

It is an arithmetic number, because the mean of its divisors is an integer number (5261494050).

Almost surely, 2^663170336640 is an apocalyptic number.

663170336640 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 663170336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346942476800).

663170336640 is an abundant number, since it is smaller than the sum of its proper divisors (2030714616960).

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

663170336640 is a wasteful number, since it uses less digits than its factorization.

663170336640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19691 (or 19673 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 663170336640 in words is "six hundred sixty-three billion, one hundred seventy million, three hundred thirty-six thousand, six hundred forty".