706544640 has 352 divisors, whose sum is σ = 2652912000. Its totient is φ = 177831936.

The previous prime is 706544627. The next prime is 706544651. The reversal of 706544640 is 46445607.

706544640 is a `hidden beast` number, since 7 + 0 + 6 + 5 + 4 + 4 + 640 = 666.

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 = 706544595 and 706544604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2626426 + ... + 2626694.

Almost surely, 2^706544640 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 706544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326456000).

706544640 is an abundant number, since it is smaller than the sum of its proper divisors (1946367360).

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

706544640 is a wasteful number, since it uses less digits than its factorization.

706544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 706544640 is about 26580.9074337202. The cubic root of 706544640 is about 890.6625710466.

The spelling of 706544640 in words is "seven hundred six million, five hundred forty-four thousand, six hundred forty".