43629540864 has 320 divisors, whose sum is σ = 147683880960. Its totient is φ = 11134402560.

The previous prime is 43629540827. The next prime is 43629540901. The reversal of 43629540864 is 46804592634.

It is an interprime number because it is at equal distance from previous prime (43629540827) and next prime (43629540901).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4328022 + ... + 4338090.

It is an arithmetic number, because the mean of its divisors is an integer number (461512128).

Almost surely, 2^43629540864 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 43629540864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73841940480).

43629540864 is an abundant number, since it is smaller than the sum of its proper divisors (104054340096).

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

43629540864 is a wasteful number, since it uses less digits than its factorization.

43629540864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10141 (or 10125 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 43629540864 in words is "forty-three billion, six hundred twenty-nine million, five hundred forty thousand, eight hundred sixty-four".