368956546560 has 960 divisors, whose sum is σ = 1562305631040. Its totient is φ = 82245058560.

The previous prime is 368956546559. The next prime is 368956546561. The reversal of 368956546560 is 65645659863.

368956546560 is a `hidden beast` number, since 3 + 6 + 8 + 9 + 5 + 65 + 4 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (368956546559) and next prime (368956546561).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×368956546560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368956546561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138860752 + ... + 138863408.

It is an arithmetic number, because the mean of its divisors is an integer number (1627401699).

Almost surely, 2^368956546560 is an apocalyptic number.

368956546560 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 368956546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781152815520).

368956546560 is an abundant number, since it is smaller than the sum of its proper divisors (1193349084480).

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

368956546560 is a wasteful number, since it uses less digits than its factorization.

368956546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 368956546560 in words is "three hundred sixty-eight billion, nine hundred fifty-six million, five hundred forty-six thousand, five hundred sixty".