360808030080 has 384 divisors, whose sum is σ = 1312970724000. Its totient is φ = 91048624128.

The previous prime is 360808030027. The next prime is 360808030139. The reversal of 360808030080 is 80030808063.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 159015186 + ... + 159017454.

Almost surely, 2^360808030080 is an apocalyptic number.

360808030080 is a gapful number since it is divisible by the number (30) 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 360808030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656485362000).

360808030080 is an abundant number, since it is smaller than the sum of its proper divisors (952162693920).

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

360808030080 is a wasteful number, since it uses less digits than its factorization.

360808030080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3766 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 360808030080 in words is "three hundred sixty billion, eight hundred eight million, thirty thousand, eighty".