360121567680 has 1792 divisors, whose sum is σ = 1597990809600. Its totient is φ = 75461787648.

The previous prime is 360121567667. The next prime is 360121567709. The reversal of 360121567680 is 86765121063.

360121567680 is a `hidden beast` number, since 3 + 6 + 0 + 1 + 2 + 1 + 567 + 6 + 80 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 255 ways as a sum of consecutive naturals, for example, 4933172124 + ... + 4933172196.

Almost surely, 2^360121567680 is an apocalyptic number.

360121567680 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 360121567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798995404800).

360121567680 is an abundant number, since it is smaller than the sum of its proper divisors (1237869241920).

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

360121567680 is an equidigital number, since it uses as much as digits as its factorization.

360121567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 360121567680 in words is "three hundred sixty billion, one hundred twenty-one million, five hundred sixty-seven thousand, six hundred eighty".