364616640 has 224 divisors, whose sum is σ = 1304665920. Its totient is φ = 97044480.

The previous prime is 364616639. The next prime is 364616641. The reversal of 364616640 is 46616463.

364616640 is a `hidden beast` number, since 3 + 6 + 4 + 6 + 1 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (364616639) and next prime (364616641).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 364616595 and 364616604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364616641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 699580 + ... + 700100.

Almost surely, 2^364616640 is an apocalyptic number.

364616640 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 364616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652332960).

364616640 is an abundant number, since it is smaller than the sum of its proper divisors (940049280).

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

364616640 is an frugal number, since it uses more digits than its factorization.

364616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 364616640 is about 19094.9375489945. The cubic root of 364616640 is about 714.4066605101.

The spelling of 364616640 in words is "three hundred sixty-four million, six hundred sixteen thousand, six hundred forty".