364646621664 has 480 divisors, whose sum is σ = 1227285924480. Its totient is φ = 105280570368.

The previous prime is 364646621629. The next prime is 364646621707. The reversal of 364646621664 is 466126646463.

364646621664 is a `hidden beast` number, since 3 + 6 + 4 + 6 + 4 + 6 + 621 + 6 + 6 + 4 = 666.

It is a super-4 number, since 4×364646621664⁴ (a number of 47 digits) contains 4444 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 364646621664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 68501307 + ... + 68506629.

It is an arithmetic number, because the mean of its divisors is an integer number (2556845676).

Almost surely, 2^364646621664 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 364646621664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613642962240).

364646621664 is an abundant number, since it is smaller than the sum of its proper divisors (862639302816).

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

364646621664 is a wasteful number, since it uses less digits than its factorization.

364646621664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5484 (or 5467 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 54.

It can be divided in two parts, 364646 and 621664, that added together give a triangular number (986310 = T₁₄₀₄).

The spelling of 364646621664 in words is "three hundred sixty-four billion, six hundred forty-six million, six hundred twenty-one thousand, six hundred sixty-four".