706516306020 has 576 divisors, whose sum is σ = 2546134456320. Its totient is φ = 155258228736.

The previous prime is 706516305991. The next prime is 706516306037. The reversal of 706516306020 is 20603615607.

706516306020 is a `hidden beast` number, since 7 + 0 + 6 + 5 + 16 + 30 + 602 + 0 = 666.

706516306020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 828271914 + ... + 828272766.

It is an arithmetic number, because the mean of its divisors is an integer number (4420372320).

Almost surely, 2^706516306020 is an apocalyptic number.

706516306020 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 706516306020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273067228160).

706516306020 is an abundant number, since it is smaller than the sum of its proper divisors (1839618150300).

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

706516306020 is a wasteful number, since it uses less digits than its factorization.

706516306020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 706516306020 in words is "seven hundred six billion, five hundred sixteen million, three hundred six thousand, twenty".