360881464320 has 1320 divisors, whose sum is σ = 1479464173440. Its totient is φ = 83846430720.

The previous prime is 360881464261. The next prime is 360881464331. The reversal of 360881464320 is 23464188063.

360881464320 is a `hidden beast` number, since 3 + 608 + 8 + 1 + 4 + 6 + 4 + 32 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1331665785 + ... + 1331666055.

It is an arithmetic number, because the mean of its divisors is an integer number (1120806192).

Almost surely, 2^360881464320 is an apocalyptic number.

360881464320 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 360881464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739732086720).

360881464320 is an abundant number, since it is smaller than the sum of its proper divisors (1118582709120).

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

360881464320 is a wasteful number, since it uses less digits than its factorization.

360881464320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 360881464320 in words is "three hundred sixty billion, eight hundred eighty-one million, four hundred sixty-four thousand, three hundred twenty".