629742720 has 128 divisors (see below), whose sum is σ = 2014606080. Its totient is φ = 167321600.

The previous prime is 629742709. The next prime is 629742727. The reversal of 629742720 is 27247926.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (629742727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 827140 + ... + 827900.

It is an arithmetic number, because the mean of its divisors is an integer number (15739110).

Almost surely, 2^629742720 is an apocalyptic number.

629742720 is a gapful number since it is divisible by the number (60) 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 629742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007303040).

629742720 is an abundant number, since it is smaller than the sum of its proper divisors (1384863360).

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

629742720 is a wasteful number, since it uses less digits than its factorization.

629742720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 629742720 is about 25094.6751323862. The cubic root of 629742720 is about 857.1451758667.

The spelling of 629742720 in words is "six hundred twenty-nine million, seven hundred forty-two thousand, seven hundred twenty".