364265625340404 has 288 divisors, whose sum is σ = 1043907917270400. Its totient is φ = 110664725022720.

The previous prime is 364265625340399. The next prime is 364265625340411. The reversal of 364265625340404 is 404043526562463.

364265625340404 is a `hidden beast` number, since 3 + 6 + 4 + 2 + 6 + 5 + 62 + 534 + 0 + 40 + 4 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57820264 + ... + 63809984.

It is an arithmetic number, because the mean of its divisors is an integer number (3624680268300).

Almost surely, 2^{364265625340404} 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 364265625340404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521953958635200).

364265625340404 is an abundant number, since it is smaller than the sum of its proper divisors (679642291929996).

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

364265625340404 is a wasteful number, since it uses less digits than its factorization.

364265625340404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5989885 (or 5989871 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 54.

The spelling of 364265625340404 in words is "three hundred sixty-four trillion, two hundred sixty-five billion, six hundred twenty-five million, three hundred forty thousand, four hundred four".