629761083468 has 192 divisors, whose sum is σ = 1640819980800. Its totient is φ = 186388070400.

The previous prime is 629761083449. The next prime is 629761083487. The reversal of 629761083468 is 864380167926.

It is an interprime number because it is at equal distance from previous prime (629761083449) and next prime (629761083487).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1348524571 + ... + 1348525037.

It is an arithmetic number, because the mean of its divisors is an integer number (8545937400).

Almost surely, 2^629761083468 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 629761083468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820409990400).

629761083468 is an abundant number, since it is smaller than the sum of its proper divisors (1011058897332).

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

629761083468 is a wasteful number, since it uses less digits than its factorization.

629761083468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 629761083468 in words is "six hundred twenty-nine billion, seven hundred sixty-one million, eighty-three thousand, four hundred sixty-eight".