705352974036480 has 480 divisors, whose sum is σ = 3045613384839168. Its totient is φ = 146566851379200.

The previous prime is 705352974036479. The next prime is 705352974036493. The reversal of 705352974036480 is 84630479253507.

It is a happy number.

705352974036480 is a `hidden beast` number, since 7 + 0 + 5 + 3 + 5 + 2 + 97 + 403 + 64 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 197019936 + ... + 200568095.

Almost surely, 2^{705352974036480} is an apocalyptic number.

705352974036480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

705352974036480 is an abundant number, since it is smaller than the sum of its proper divisors (2340260410802688).

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

705352974036480 is a wasteful number, since it uses less digits than its factorization.

705352974036480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397588078 (or 397588059 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 705352974036480 in words is "seven hundred five trillion, three hundred fifty-two billion, nine hundred seventy-four million, thirty-six thousand, four hundred eighty".