706164480 has 540 divisors, whose sum is σ = 2960468280. Its totient is φ = 160247808.

The previous prime is 706164467. The next prime is 706164553. The reversal of 706164480 is 84461607.

706164480 is a `hidden beast` number, since 7 + 0 + 6 + 1 + 644 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5080251 + ... + 5080389.

Almost surely, 2^706164480 is an apocalyptic number.

706164480 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 706164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480234140).

706164480 is an abundant number, since it is smaller than the sum of its proper divisors (2254303800).

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

706164480 is a wasteful number, since it uses less digits than its factorization.

706164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 706164480 is about 26573.7554741516. The cubic root of 706164480 is about 890.5028005195.

The spelling of 706164480 in words is "seven hundred six million, one hundred sixty-four thousand, four hundred eighty".