706341181920 has 384 divisors, whose sum is σ = 2643109056000. Its totient is φ = 156627394560.

The previous prime is 706341181919. The next prime is 706341181957. The reversal of 706341181920 is 29181143607.

It is a happy number.

It is a super-2 number, since 2×706341181920² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2787886 + ... + 3030674.

It is an arithmetic number, because the mean of its divisors is an integer number (6883096500).

Almost surely, 2^706341181920 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 706341181920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321554528000).

706341181920 is an abundant number, since it is smaller than the sum of its proper divisors (1936767874080).

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

706341181920 is a wasteful number, since it uses less digits than its factorization.

706341181920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242866 (or 242858 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 706341181920 in words is "seven hundred six billion, three hundred forty-one million, one hundred eighty-one thousand, nine hundred twenty".