716429106900 has 432 divisors, whose sum is σ = 2569068902400. Its totient is φ = 165531755520.

The previous prime is 716429106859. The next prime is 716429106917. The reversal of 716429106900 is 9601924617.

It is a super-2 number, since 2×716429106900² (a number of 25 digits) 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24215917 + ... + 24245483.

Almost surely, 2^716429106900 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 716429106900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284534451200).

716429106900 is an abundant number, since it is smaller than the sum of its proper divisors (1852639795500).

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

716429106900 is a wasteful number, since it uses less digits than its factorization.

716429106900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29728 (or 29718 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 716429106900 in words is "seven hundred sixteen billion, four hundred twenty-nine million, one hundred six thousand, nine hundred".