364099095360 has 1120 divisors, whose sum is σ = 1739086094592. Its totient is φ = 69832212480.

The previous prime is 364099095359. The next prime is 364099095403. The reversal of 364099095360 is 63590990463.

364099095360 is a `hidden beast` number, since 3 + 6 + 409 + 90 + 95 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a junction number, because it is equal to n+sod(n) for n = 364099095297 and 364099095306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25938904 + ... + 25952936.

Almost surely, 2^364099095360 is an apocalyptic number.

364099095360 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 364099095360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869543047296).

364099095360 is an abundant number, since it is smaller than the sum of its proper divisors (1374986999232).

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

364099095360 is a wasteful number, since it uses less digits than its factorization.

364099095360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14093 (or 14074 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 54.

The spelling of 364099095360 in words is "three hundred sixty-four billion, ninety-nine million, ninety-five thousand, three hundred sixty".