166963863306240 has 7680 divisors, whose sum is σ = 866684528640000. Its totient is φ = 30339508469760.

The previous prime is 166963863306217. The next prime is 166963863306271. The reversal of 166963863306240 is 42603368369661.

166963863306240 is a `hidden beast` number, since 1 + 6 + 6 + 9 + 6 + 3 + 86 + 3 + 306 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 511 ways as a sum of consecutive naturals, for example, 8787571752951 + ... + 8787571752969.

It is an arithmetic number, because the mean of its divisors is an integer number (112849548000).

Almost surely, 2^{166963863306240} is an apocalyptic number.

166963863306240 is a gapful number since it is divisible by the number (10) 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 166963863306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433342264320000).

166963863306240 is an abundant number, since it is smaller than the sum of its proper divisors (699720665333760).

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

166963863306240 is an frugal number, since it uses more digits than its factorization.

166963863306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 63.

The spelling of 166963863306240 in words is "one hundred sixty-six trillion, nine hundred sixty-three billion, eight hundred sixty-three million, three hundred six thousand, two hundred forty".