705615600060 has 72 divisors (see below), whose sum is σ = 2446134084576. Its totient is φ = 161283565440.

The previous prime is 705615600029. The next prime is 705615600061. The reversal of 705615600060 is 60006516507.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 705615599988 and 705615600024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705615600061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280004931 + ... + 280007450.

It is an arithmetic number, because the mean of its divisors is an integer number (33974084508).

Almost surely, 2^705615600060 is an apocalyptic number.

705615600060 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

705615600060 is an abundant number, since it is smaller than the sum of its proper divisors (1740518484516).

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

705615600060 is a wasteful number, since it uses less digits than its factorization.

705615600060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560012403 (or 560012398 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 705615600060 in words is "seven hundred five billion, six hundred fifteen million, six hundred thousand, sixty".