629948067840 has 1872 divisors, whose sum is σ = 2828488336128. Its totient is φ = 131669950464.

The previous prime is 629948067839. The next prime is 629948067841. The reversal of 629948067840 is 48760849926.

629948067840 is a `hidden beast` number, since 6 + 2 + 99 + 480 + 67 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (629948067839) and next prime (629948067841).

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (629948067841) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5887365067 + ... + 5887365173.

It is an arithmetic number, because the mean of its divisors is an integer number (1510944624).

Almost surely, 2^629948067840 is an apocalyptic number.

629948067840 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 629948067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414244168064).

629948067840 is an abundant number, since it is smaller than the sum of its proper divisors (2198540268288).

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

629948067840 is a wasteful number, since it uses less digits than its factorization.

629948067840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 629948067840 in words is "six hundred twenty-nine billion, nine hundred forty-eight million, sixty-seven thousand, eight hundred forty".