712424160000 has 900 divisors, whose sum is σ = 3034157971152. Its totient is φ = 162819072000.

The previous prime is 712424159987. The next prime is 712424160001. The reversal of 712424160000 is 61424217.

712424160000 is a `hidden beast` number, since 7 + 1 + 242 + 416 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (712424160001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 90716074 + ... + 90723926.

Almost surely, 2^712424160000 is an apocalyptic number.

712424160000 is a gapful number since it is divisible by the number (70) 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 712424160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517078985576).

712424160000 is an abundant number, since it is smaller than the sum of its proper divisors (2321733811152).

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

712424160000 is an frugal number, since it uses more digits than its factorization.

712424160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7908 (or 7870 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 712424160000 its reverse (61424217), we get a palindrome (712485584217).

The spelling of 712424160000 in words is "seven hundred twelve billion, four hundred twenty-four million, one hundred sixty thousand".