642929509600 has 432 divisors, whose sum is σ = 1891780168320. Its totient is φ = 212521881600.

The previous prime is 642929509571. The next prime is 642929509603. The reversal of 642929509600 is 6905929246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642929509603) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 385217566 + ... + 385219234.

It is an arithmetic number, because the mean of its divisors is an integer number (4379120760).

Almost surely, 2^642929509600 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 642929509600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945890084160).

642929509600 is an abundant number, since it is smaller than the sum of its proper divisors (1248850658720).

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

642929509600 is a wasteful number, since it uses less digits than its factorization.

642929509600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 52.

The spelling of 642929509600 in words is "six hundred forty-two billion, nine hundred twenty-nine million, five hundred nine thousand, six hundred".