429563696640 has 640 divisors, whose sum is σ = 1559612178432. Its totient is φ = 100116725760.

The previous prime is 429563696623. The next prime is 429563696641. The reversal of 429563696640 is 46696365924.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429563696641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145465404 + ... + 145468356.

Almost surely, 2^429563696640 is an apocalyptic number.

429563696640 is a gapful number since it is divisible by the number (40) 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 429563696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779806089216).

429563696640 is an abundant number, since it is smaller than the sum of its proper divisors (1130048481792).

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

429563696640 is a wasteful number, since it uses less digits than its factorization.

429563696640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 60.

The spelling of 429563696640 in words is "four hundred twenty-nine billion, five hundred sixty-three million, six hundred ninety-six thousand, six hundred forty".