364783680 has 168 divisors, whose sum is σ = 1309493952. Its totient is φ = 93029376.

The previous prime is 364783673. The next prime is 364783681. The reversal of 364783680 is 86387463.

364783680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (364783681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63487 + ... + 68993.

Almost surely, 2^364783680 is an apocalyptic number.

364783680 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 364783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654746976).

364783680 is an abundant number, since it is smaller than the sum of its proper divisors (944710272).

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

364783680 is a wasteful number, since it uses less digits than its factorization.

364783680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5553 (or 5540 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 364783680 is about 19099.3109823365. The cubic root of 364783680 is about 714.5157397062.

The spelling of 364783680 in words is "three hundred sixty-four million, seven hundred eighty-three thousand, six hundred eighty".