729606231900 has 1296 divisors, whose sum is σ = 3010284496128. Its totient is φ = 146313216000.

The previous prime is 729606231889. The next prime is 729606231911. The reversal of 729606231900 is 9132606927.

It is a happy number.

729606231900 is a `hidden beast` number, since 7 + 2 + 9 + 6 + 0 + 623 + 19 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (729606231889) and next prime (729606231911).

It is a super-2 number, since 2×729606231900² (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 polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1084109964 + ... + 1084110636.

Almost surely, 2^729606231900 is an apocalyptic number.

729606231900 is a gapful number since it is divisible by the number (70) 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 729606231900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505142248064).

729606231900 is an abundant number, since it is smaller than the sum of its proper divisors (2280678264228).

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

729606231900 is a wasteful number, since it uses less digits than its factorization.

729606231900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 729606231900 in words is "seven hundred twenty-nine billion, six hundred six million, two hundred thirty-one thousand, nine hundred".