364213072428480 has 336 divisors, whose sum is σ = 1366832371398624. Its totient is φ = 88280795381760.

The previous prime is 364213072428391. The next prime is 364213072428497. The reversal of 364213072428480 is 84824270312463.

364213072428480 is a `hidden beast` number, since 3 + 6 + 4 + 2 + 130 + 7 + 2 + 4 + 28 + 480 = 666.

It is a super-2 number, since 2×364213072428480² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210539212 + ... + 212262068.

Almost surely, 2^{364213072428480} is an apocalyptic number.

364213072428480 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 364213072428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683416185699312).

364213072428480 is an abundant number, since it is smaller than the sum of its proper divisors (1002619298970144).

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

364213072428480 is a wasteful number, since it uses less digits than its factorization.

364213072428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729564 (or 1729551 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 364213072428480 in words is "three hundred sixty-four trillion, two hundred thirteen billion, seventy-two million, four hundred twenty-eight thousand, four hundred eighty".