364487645491200 has 4992 divisors, whose sum is σ = 1765398550118400. Its totient is φ = 72365919436800.

The previous prime is 364487645491163. The next prime is 364487645491273. The reversal of 364487645491200 is 2194546784463.

364487645491200 is a `hidden beast` number, since 3 + 6 + 4 + 4 + 8 + 7 + 64 + 549 + 1 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 396613324341 + ... + 396613325259.

It is a 1-persistent number, because it is pandigital, but 2⋅364487645491200 = 728975290982400 is not.

Almost surely, 2^{364487645491200} is an apocalyptic number.

364487645491200 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 364487645491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882699275059200).

364487645491200 is an abundant number, since it is smaller than the sum of its proper divisors (1400910904627200).

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

364487645491200 is an equidigital number, since it uses as much as digits as its factorization.

364487645491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 364487645491200 in words is "three hundred sixty-four trillion, four hundred eighty-seven billion, six hundred forty-five million, four hundred ninety-one thousand, two hundred".