364966642040 has 512 divisors, whose sum is σ = 1128388423680. Its totient is φ = 103428864000.

The previous prime is 364966642003. The next prime is 364966642057. The reversal of 364966642040 is 40246669463.

It is a self number, because there is not a number n which added to its sum of digits gives 364966642040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 343983110 + ... + 343984170.

It is an arithmetic number, because the mean of its divisors is an integer number (2203883640).

Almost surely, 2^364966642040 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 364966642040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564194211840).

364966642040 is an abundant number, since it is smaller than the sum of its proper divisors (763421781640).

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

364966642040 is a wasteful number, since it uses less digits than its factorization.

364966642040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 50.

The spelling of 364966642040 in words is "three hundred sixty-four billion, nine hundred sixty-six million, six hundred forty-two thousand, forty".