706628519735949 has 80 divisors (see below), whose sum is σ = 1105220939243520. Its totient is φ = 449413176420000.

The previous prime is 706628519735947. The next prime is 706628519735953. The reversal of 706628519735949 is 949537915826607.

706628519735949 is a `hidden beast` number, since 7 + 0 + 6 + 6 + 2 + 8 + 5 + 19 + 7 + 3 + 594 + 9 = 666.

It is not a de Polignac number, because 706628519735949 - 2¹ = 706628519735947 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706628519735947) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42556872 + ... + 56783310.

It is an arithmetic number, because the mean of its divisors is an integer number (13815261740544).

It is a 1-persistent number, because it is pandigital, but 2⋅706628519735949 = 1413257039471898 is not.

Almost surely, 2^{706628519735949} is an apocalyptic number.

It is an amenable number.

706628519735949 is a deficient number, since it is larger than the sum of its proper divisors (398592419507571).

706628519735949 is a wasteful number, since it uses less digits than its factorization.

706628519735949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14226764 (or 14226755 counting only the distinct ones).

The product of its (nonzero) digits is 6172588800, while the sum is 81.

The spelling of 706628519735949 in words is "seven hundred six trillion, six hundred twenty-eight billion, five hundred nineteen million, seven hundred thirty-five thousand, nine hundred forty-nine".