697431399712320 has 672 divisors, whose sum is σ = 2826354254669568. Its totient is φ = 144373932638208.

The previous prime is 697431399712319. The next prime is 697431399712357. The reversal of 697431399712320 is 23217993134796.

697431399712320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21651237 + ... + 43169883.

It is an arithmetic number, because the mean of its divisors is an integer number (4205884307544).

Almost surely, 2^{697431399712320} is an apocalyptic number.

697431399712320 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 697431399712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413177127334784).

697431399712320 is an abundant number, since it is smaller than the sum of its proper divisors (2128922854957248).

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

697431399712320 is a wasteful number, since it uses less digits than its factorization.

697431399712320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21518747 (or 21518730 counting only the distinct ones).

The product of its (nonzero) digits is 92588832, while the sum is 66.

The spelling of 697431399712320 in words is "six hundred ninety-seven trillion, four hundred thirty-one billion, three hundred ninety-nine million, seven hundred twelve thousand, three hundred twenty".