706498763328 has 896 divisors, whose sum is σ = 2401726464000. Its totient is φ = 202330275840.

The previous prime is 706498763293. The next prime is 706498763353. The reversal of 706498763328 is 823367894607.

706498763328 is a `hidden beast` number, since 70 + 6 + 498 + 76 + 3 + 3 + 2 + 8 = 666.

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 127 ways as a sum of consecutive naturals, for example, 1864112643 + ... + 1864113021.

Almost surely, 2^706498763328 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 706498763328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200863232000).

706498763328 is an abundant number, since it is smaller than the sum of its proper divisors (1695227700672).

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

706498763328 is a wasteful number, since it uses less digits than its factorization.

706498763328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 706498763328 in words is "seven hundred six billion, four hundred ninety-eight million, seven hundred sixty-three thousand, three hundred twenty-eight".