705460674240 has 560 divisors, whose sum is σ = 3036655904832. Its totient is φ = 151762305024.

The previous prime is 705460674239. The next prime is 705460674241. The reversal of 705460674240 is 42476064507.

705460674240 is a `hidden beast` number, since 7 + 0 + 546 + 0 + 67 + 4 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (705460674239) and next prime (705460674241).

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (705460674241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2970124 + ... + 3198836.

Almost surely, 2^705460674240 is an apocalyptic number.

705460674240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705460674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518327952416).

705460674240 is an abundant number, since it is smaller than the sum of its proper divisors (2331195230592).

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

705460674240 is a wasteful number, since it uses less digits than its factorization.

705460674240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228766 (or 228747 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 705460674240 in words is "seven hundred five billion, four hundred sixty million, six hundred seventy-four thousand, two hundred forty".