368487104958720 has 864 divisors, whose sum is σ = 1441036208102400. Its totient is φ = 86126970470400.

The previous prime is 368487104958703. The next prime is 368487104958803. The reversal of 368487104958720 is 27859401784863.

It is a happy number.

368487104958720 is a `hidden beast` number, since 3 + 6 + 8 + 4 + 8 + 7 + 10 + 4 + 9 + 587 + 20 = 666.

It is a super-2 number, since 2×368487104958720² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1056543726 + ... + 1056892434.

It is an arithmetic number, because the mean of its divisors is an integer number (1667865981600).

It is a 1-persistent number, because it is pandigital, but 2⋅368487104958720 = 736974209917440 is not.

Almost surely, 2^{368487104958720} is an apocalyptic number.

368487104958720 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 368487104958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720518104051200).

368487104958720 is an abundant number, since it is smaller than the sum of its proper divisors (1072549103143680).

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

368487104958720 is a wasteful number, since it uses less digits than its factorization.

368487104958720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349047 (or 349030 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 368487104958720 in words is "three hundred sixty-eight trillion, four hundred eighty-seven billion, one hundred four million, nine hundred fifty-eight thousand, seven hundred twenty".