712166745600 has 360 divisors, whose sum is σ = 2555460940032. Its totient is φ = 189403545600.

The previous prime is 712166745599. The next prime is 712166745607. The reversal of 712166745600 is 6547661217.

712166745600 is a `hidden beast` number, since 7 + 1 + 2 + 16 + 6 + 74 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×712166745600³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712166745607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44113530 + ... + 44129670.

Almost surely, 2^712166745600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712166745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277730470016).

712166745600 is an abundant number, since it is smaller than the sum of its proper divisors (1843294194432).

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

712166745600 is a wasteful number, since it uses less digits than its factorization.

712166745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16558 (or 16534 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 712166745600 in words is "seven hundred twelve billion, one hundred sixty-six million, seven hundred forty-five thousand, six hundred".