705005640 has 512 divisors, whose sum is σ = 2737152000. Its totient is φ = 160247808.

The previous prime is 705005617. The next prime is 705005671. The reversal of 705005640 is 46500507.

705005640 is a `hidden beast` number, since 70 + 500 + 56 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15000097 + ... + 15000143.

It is an arithmetic number, because the mean of its divisors is an integer number (5346000).

Almost surely, 2^705005640 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 705005640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368576000).

705005640 is an abundant number, since it is smaller than the sum of its proper divisors (2032146360).

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

705005640 is a wasteful number, since it uses less digits than its factorization.

705005640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 705005640 is about 26551.9423018355. The cubic root of 705005640 is about 890.0154186615.

The spelling of 705005640 in words is "seven hundred five million, five thousand, six hundred forty".