368564660352 has 640 divisors, whose sum is σ = 1306917089280. Its totient is φ = 100888934400.

The previous prime is 368564660311. The next prime is 368564660423. The reversal of 368564660352 is 253066465863.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 240733827 + ... + 240735357.

It is an arithmetic number, because the mean of its divisors is an integer number (2042057952).

Almost surely, 2^368564660352 is an apocalyptic number.

368564660352 is a gapful number since it is divisible by the number (32) 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 368564660352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653458544640).

368564660352 is an abundant number, since it is smaller than the sum of its proper divisors (938352428928).

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

368564660352 is a wasteful number, since it uses less digits than its factorization.

368564660352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 368564660352 in words is "three hundred sixty-eight billion, five hundred sixty-four million, six hundred sixty thousand, three hundred fifty-two".