629095680 has 288 divisors, whose sum is σ = 2266387200. Its totient is φ = 165224448.

The previous prime is 629095639. The next prime is 629095697. The reversal of 629095680 is 86590926.

629095680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×629095680² = 791522749189324800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3766957 + ... + 3767123.

It is an arithmetic number, because the mean of its divisors is an integer number (7869400).

Almost surely, 2^629095680 is an apocalyptic number.

629095680 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 629095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133193600).

629095680 is an abundant number, since it is smaller than the sum of its proper divisors (1637291520).

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

629095680 is a wasteful number, since it uses less digits than its factorization.

629095680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 629095680 is about 25081.7798411516. The cubic root of 629095680 is about 856.8515124111.

The spelling of 629095680 in words is "six hundred twenty-nine million, ninety-five thousand, six hundred eighty".