166629506400 has 720 divisors, whose sum is σ = 710708511744. Its totient is φ = 37196651520.

The previous prime is 166629506387. The next prime is 166629506431. The reversal of 166629506400 is 4605926661.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 19500529 + ... + 19509071.

Almost surely, 2^166629506400 is an apocalyptic number.

166629506400 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 166629506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355354255872).

166629506400 is an abundant number, since it is smaller than the sum of its proper divisors (544079005344).

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

166629506400 is a wasteful number, since it uses less digits than its factorization.

166629506400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8625 (or 8603 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 166629506400 in words is "one hundred sixty-six billion, six hundred twenty-nine million, five hundred six thousand, four hundred".