364905901368 has 256 divisors, whose sum is σ = 1039647168000. Its totient is φ = 120046354560.

The previous prime is 364905901351. The next prime is 364905901387. The reversal of 364905901368 is 863109509463.

364905901368 is a `hidden beast` number, since 3 + 6 + 49 + 0 + 590 + 1 + 3 + 6 + 8 = 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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 552050958 + ... + 552051618.

It is an arithmetic number, because the mean of its divisors is an integer number (4061121750).

Almost surely, 2^364905901368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364905901368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519823584000).

364905901368 is an abundant number, since it is smaller than the sum of its proper divisors (674741266632).

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

364905901368 is a wasteful number, since it uses less digits than its factorization.

364905901368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 364905901368 in words is "three hundred sixty-four billion, nine hundred five million, nine hundred one thousand, three hundred sixty-eight".