706480521626880 has 4320 divisors, whose sum is σ = 3605026170670848. Its totient is φ = 129614000947200.

The previous prime is 706480521626879. The next prime is 706480521626911. The reversal of 706480521626880 is 88626125084607.

706480521626880 is a `hidden beast` number, since 7 + 0 + 6 + 4 + 8 + 0 + 521 + 6 + 26 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×706480521626880² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 479 ways as a sum of consecutive naturals, for example, 16709151340 + ... + 16709193620.

Almost surely, 2^{706480521626880} is an apocalyptic number.

706480521626880 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 706480521626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802513085335424).

706480521626880 is an abundant number, since it is smaller than the sum of its proper divisors (2898545649043968).

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

706480521626880 is a wasteful number, since it uses less digits than its factorization.

706480521626880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42375 (or 42345 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 706480521626880 in words is "seven hundred six trillion, four hundred eighty billion, five hundred twenty-one million, six hundred twenty-six thousand, eight hundred eighty".