719810820432 has 160 divisors (see below), whose sum is σ = 2256242257920. Its totient is φ = 217902960000.

The previous prime is 719810820431. The next prime is 719810820451. The reversal of 719810820432 is 234028018917.

It is a happy number.

719810820432 is a `hidden beast` number, since 7 + 1 + 98 + 108 + 20 + 432 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (719810820431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4632807 + ... + 4785657.

It is an arithmetic number, because the mean of its divisors is an integer number (14101514112).

Almost surely, 2^719810820432 is an apocalyptic number.

719810820432 is a gapful number since it is divisible by the number (72) 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 719810820432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128121128960).

719810820432 is an abundant number, since it is smaller than the sum of its proper divisors (1536431437488).

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

719810820432 is a wasteful number, since it uses less digits than its factorization.

719810820432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153870 (or 153858 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 719810820432 in words is "seven hundred nineteen billion, eight hundred ten million, eight hundred twenty thousand, four hundred thirty-two".