629972640 has 336 divisors, whose sum is σ = 2439261216. Its totient is φ = 152409600.

The previous prime is 629972633. The next prime is 629972647. The reversal of 629972640 is 46279926.

It is an interprime number because it is at equal distance from previous prime (629972633) and next prime (629972647).

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

It is not an unprimeable number, because it can be changed into a prime (629972647) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 1282795 + ... + 1283285.

It is an arithmetic number, because the mean of its divisors is an integer number (7259706).

Almost surely, 2^629972640 is an apocalyptic number.

629972640 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 629972640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219630608).

629972640 is an abundant number, since it is smaller than the sum of its proper divisors (1809288576).

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

629972640 is a wasteful number, since it uses less digits than its factorization.

629972640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 629972640 is about 25099.2557658589. The cubic root of 629972640 is about 857.2494781653.

The spelling of 629972640 in words is "six hundred twenty-nine million, nine hundred seventy-two thousand, six hundred forty".