706282536960 has 2880 divisors, whose sum is σ = 3514300070400. Its totient is φ = 130799370240.

The previous prime is 706282536943. The next prime is 706282536983. The reversal of 706282536960 is 69635282607.

706282536960 is a `hidden beast` number, since 7 + 0 + 628 + 2 + 5 + 3 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 706282536897 and 706282536906.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24354570226 + ... + 24354570254.

It is an arithmetic number, because the mean of its divisors is an integer number (1220243080).

Almost surely, 2^706282536960 is an apocalyptic number.

706282536960 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 706282536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757150035200).

706282536960 is an abundant number, since it is smaller than the sum of its proper divisors (2808017533440).

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

706282536960 is a wasteful number, since it uses less digits than its factorization.

706282536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 706282536960 in words is "seven hundred six billion, two hundred eighty-two million, five hundred thirty-six thousand, nine hundred sixty".