368253135747360 has 384 divisors, whose sum is σ = 1294816477248000. Its totient is φ = 97749189144576.

The previous prime is 368253135747337. The next prime is 368253135747443. The reversal of 368253135747360 is 63747531352863.

368253135747360 is a `hidden beast` number, since 3 + 6 + 8 + 2 + 53 + 1 + 3 + 57 + 473 + 60 = 666.

It is a super-2 number, since 2×368253135747360² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4470515134 + ... + 4470597506.

It is an arithmetic number, because the mean of its divisors is an integer number (3371917909500).

Almost surely, 2^{368253135747360} is an apocalyptic number.

368253135747360 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 368253135747360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647408238624000).

368253135747360 is an abundant number, since it is smaller than the sum of its proper divisors (926563341500640).

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

368253135747360 is a wasteful number, since it uses less digits than its factorization.

368253135747360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87145 (or 87131 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 63.

The spelling of 368253135747360 in words is "three hundred sixty-eight trillion, two hundred fifty-three billion, one hundred thirty-five million, seven hundred forty-seven thousand, three hundred sixty".