706851688288464 has 1600 divisors, whose sum is σ = 2350358990825472. Its totient is φ = 203961817497600.

The previous prime is 706851688288463. The next prime is 706851688288469. The reversal of 706851688288464 is 464882886158607.

706851688288464 is a `hidden beast` number, since 7 + 0 + 6 + 8 + 51 + 6 + 88 + 28 + 8 + 464 = 666.

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 (706851688288463) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 197389467154 + ... + 197389470734.

Almost surely, 2^{706851688288464} is an apocalyptic number.

706851688288464 is a gapful number since it is divisible by the number (74) 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 706851688288464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175179495412736).

706851688288464 is an abundant number, since it is smaller than the sum of its proper divisors (1643507302537008).

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

706851688288464 is a wasteful number, since it uses less digits than its factorization.

706851688288464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866 (or 3851 counting only the distinct ones).

The product of its (nonzero) digits is 7927234560, while the sum is 81.

The spelling of 706851688288464 in words is "seven hundred six trillion, eight hundred fifty-one billion, six hundred eighty-eight million, two hundred eighty-eight thousand, four hundred sixty-four".