364220375040 has 1344 divisors, whose sum is σ = 1435798780416. Its totient is φ = 88289574912.

The previous prime is 364220374979. The next prime is 364220375069. The reversal of 364220375040 is 40573022463.

364220375040 is a `hidden beast` number, since 3 + 64 + 220 + 375 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 364220374986 and 364220375004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8470241259 + ... + 8470241301.

It is an arithmetic number, because the mean of its divisors is an integer number (1068302664).

Almost surely, 2^364220375040 is an apocalyptic number.

364220375040 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 364220375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717899390208).

364220375040 is an abundant number, since it is smaller than the sum of its proper divisors (1071578405376).

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

364220375040 is an equidigital number, since it uses as much as digits as its factorization.

364220375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 364220375040 in words is "three hundred sixty-four billion, two hundred twenty million, three hundred seventy-five thousand, forty".