360065694320640 has 5376 divisors, whose sum is σ = 1690891115397120. Its totient is φ = 71971769548800.

The previous prime is 360065694320581. The next prime is 360065694320681. The reversal of 360065694320640 is 46023496560063.

360065694320640 is a `hidden beast` number, since 3 + 6 + 0 + 0 + 6 + 569 + 4 + 32 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a super-2 number, since 2×360065694320640² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 2156082001837 + ... + 2156082002003.

It is an arithmetic number, because the mean of its divisors is an integer number (314525877120).

Almost surely, 2^{360065694320640} is an apocalyptic number.

360065694320640 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 360065694320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845445557698560).

360065694320640 is an abundant number, since it is smaller than the sum of its proper divisors (1330825421076480).

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

360065694320640 is an equidigital number, since it uses as much as digits as its factorization.

360065694320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 360065694320640 in words is "three hundred sixty trillion, sixty-five billion, six hundred ninety-four million, three hundred twenty thousand, six hundred forty".