705699800064 has 528 divisors, whose sum is σ = 2444658408000. Its totient is φ = 200509489152.

The previous prime is 705699800021. The next prime is 705699800107. The reversal of 705699800064 is 460008996507.

705699800064 is a `hidden beast` number, since 70 + 569 + 9 + 8 + 0 + 0 + 0 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (705699800021) and next prime (705699800107).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261465787 + ... + 261468485.

Almost surely, 2^705699800064 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 705699800064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222329204000).

705699800064 is an abundant number, since it is smaller than the sum of its proper divisors (1738958607936).

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

705699800064 is a wasteful number, since it uses less digits than its factorization.

705699800064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 705699800064 in words is "seven hundred five billion, six hundred ninety-nine million, eight hundred thousand, sixty-four".