706575770880 has 1152 divisors, whose sum is σ = 2819748298752. Its totient is φ = 147127271424.

The previous prime is 706575770851. The next prime is 706575770881. The reversal of 706575770880 is 88077575607.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706575770881) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 3586678942 + ... + 3586679138.

It is an arithmetic number, because the mean of its divisors is an integer number (2447698176).

Almost surely, 2^706575770880 is an apocalyptic number.

706575770880 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 706575770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409874149376).

706575770880 is an abundant number, since it is smaller than the sum of its proper divisors (2113172527872).

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

706575770880 is a wasteful number, since it uses less digits than its factorization.

706575770880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 23049600, while the sum is 60.

The spelling of 706575770880 in words is "seven hundred six billion, five hundred seventy-five million, seven hundred seventy thousand, eight hundred eighty".