166772736000 has 1152 divisors, whose sum is σ = 687024374400. Its totient is φ = 39636172800.

The previous prime is 166772735981. The next prime is 166772736079. The reversal of 166772736000 is 637277661.

166772736000 is a `hidden beast` number, since 16 + 6 + 7 + 7 + 27 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5750783986 + ... + 5750784014.

It is an arithmetic number, because the mean of its divisors is an integer number (596375325).

Almost surely, 2^166772736000 is an apocalyptic number.

166772736000 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 166772736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343512187200).

166772736000 is an abundant number, since it is smaller than the sum of its proper divisors (520251638400).

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

166772736000 is an frugal number, since it uses more digits than its factorization.

166772736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 166772736000 in words is "one hundred sixty-six billion, seven hundred seventy-two million, seven hundred thirty-six thousand".