368840355840 has 2080 divisors, whose sum is σ = 1618444618560. Its totient is φ = 79272345600.

The previous prime is 368840355839. The next prime is 368840355859. The reversal of 368840355840 is 48553048863.

368840355840 is a `hidden beast` number, since 3 + 6 + 8 + 8 + 40 + 3 + 558 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8996106220 + ... + 8996106260.

Almost surely, 2^368840355840 is an apocalyptic number.

368840355840 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 368840355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809222309280).

368840355840 is an abundant number, since it is smaller than the sum of its proper divisors (1249604262720).

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

368840355840 is a wasteful number, since it uses less digits than its factorization.

368840355840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 368840355840 in words is "three hundred sixty-eight billion, eight hundred forty million, three hundred fifty-five thousand, eight hundred forty".