706378334673200 has 240 divisors, whose sum is σ = 1973236953752064. Its totient is φ = 237997983283200.

The previous prime is 706378334673191. The next prime is 706378334673251. The reversal of 706378334673200 is 2376433873607.

It is a self number, because there is not a number n which added to its sum of digits gives 706378334673200.

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, 55244612 + ... + 66818588.

Almost surely, 2^{706378334673200} is an apocalyptic number.

706378334673200 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 706378334673200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986618476876032).

706378334673200 is an abundant number, since it is smaller than the sum of its proper divisors (1266858619078864).

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

706378334673200 is a wasteful number, since it uses less digits than its factorization.

706378334673200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11574380 (or 11574369 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 59.

The spelling of 706378334673200 in words is "seven hundred six trillion, three hundred seventy-eight billion, three hundred thirty-four million, six hundred seventy-three thousand, two hundred".