706712432400 has 360 divisors, whose sum is σ = 2642503368960. Its totient is φ = 173870300160.

The previous prime is 706712432399. The next prime is 706712432441. The reversal of 706712432400 is 4234217607.

706712432400 is a `hidden beast` number, since 7 + 0 + 6 + 7 + 1 + 243 + 2 + 400 = 666.

706712432400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 171239137 + ... + 171243263.

It is an arithmetic number, because the mean of its divisors is an integer number (7340287136).

Almost surely, 2^706712432400 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 706712432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321251684480).

706712432400 is an abundant number, since it is smaller than the sum of its proper divisors (1935790936560).

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

706712432400 is a wasteful number, since it uses less digits than its factorization.

706712432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7823 (or 7809 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 706712432400 in words is "seven hundred six billion, seven hundred twelve million, four hundred thirty-two thousand, four hundred".