629080610400 has 432 divisors, whose sum is σ = 2428307547120. Its totient is φ = 151978291200.

The previous prime is 629080610399. The next prime is 629080610441. The reversal of 629080610400 is 4016080926.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23192046 + ... + 23219154.

It is an arithmetic number, because the mean of its divisors is an integer number (5621082285).

Almost surely, 2^629080610400 is an apocalyptic number.

629080610400 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 629080610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214153773560).

629080610400 is an abundant number, since it is smaller than the sum of its proper divisors (1799226936720).

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

629080610400 is a wasteful number, since it uses less digits than its factorization.

629080610400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27439 (or 27423 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 629080610400 in words is "six hundred twenty-nine billion, eighty million, six hundred ten thousand, four hundred".