706252031640 has 192 divisors, whose sum is σ = 2416602240000. Its totient is φ = 178386354432.

The previous prime is 706252031549. The next prime is 706252031647. The reversal of 706252031640 is 46130252607.

706252031640 is a `hidden beast` number, since 7 + 0 + 6 + 2 + 5 + 2 + 0 + 3 + 1 + 640 = 666.

It is a super-2 number, since 2×706252031640² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 706252031595 and 706252031604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706252031647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64557291 + ... + 64568229.

It is an arithmetic number, because the mean of its divisors is an integer number (12586470000).

Almost surely, 2^706252031640 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 706252031640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208301120000).

706252031640 is an abundant number, since it is smaller than the sum of its proper divisors (1710350208360).

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

706252031640 is a wasteful number, since it uses less digits than its factorization.

706252031640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20414 (or 20407 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 706252031640 in words is "seven hundred six billion, two hundred fifty-two million, thirty-one thousand, six hundred forty".