706556506320 has 480 divisors, whose sum is σ = 2788750508544. Its totient is φ = 156948480000.

The previous prime is 706556506309. The next prime is 706556506351. The reversal of 706556506320 is 23605655607.

706556506320 is a `hidden beast` number, since 7 + 0 + 6 + 5 + 5 + 6 + 5 + 0 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54339820 + ... + 54352820.

Almost surely, 2^706556506320 is an apocalyptic number.

706556506320 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 706556506320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394375254272).

706556506320 is an abundant number, since it is smaller than the sum of its proper divisors (2082194002224).

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

706556506320 is a wasteful number, since it uses less digits than its factorization.

706556506320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13331 (or 13322 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 706556506320 in words is "seven hundred six billion, five hundred fifty-six million, five hundred six thousand, three hundred twenty".