368091060480 has 2160 divisors, whose sum is σ = 1627468095792. Its totient is φ = 78829977600.

The previous prime is 368091060461. The next prime is 368091060553. The reversal of 368091060480 is 84060190863.

368091060480 is a `hidden beast` number, since 3 + 6 + 80 + 91 + 0 + 6 + 0 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 41108373504 + 326982686976 = 202752^2 + 571824^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6034279650 + ... + 6034279710.

Almost surely, 2^368091060480 is an apocalyptic number.

368091060480 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 368091060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813734047896).

368091060480 is an abundant number, since it is smaller than the sum of its proper divisors (1259377035312).

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

368091060480 is a wasteful number, since it uses less digits than its factorization.

368091060480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 368091060480 in words is "three hundred sixty-eight billion, ninety-one million, sixty thousand, four hundred eighty".