697505820480 has 336 divisors, whose sum is σ = 2745315555840. Its totient is φ = 159229108224.

The previous prime is 697505820371. The next prime is 697505820481. The reversal of 697505820480 is 84028505796.

697505820480 is a `hidden beast` number, since 6 + 9 + 7 + 50 + 582 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (697505820481) 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 47 ways as a sum of consecutive naturals, for example, 16288057 + ... + 16330823.

Almost surely, 2^697505820480 is an apocalyptic number.

697505820480 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 697505820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372657777920).

697505820480 is an abundant number, since it is smaller than the sum of its proper divisors (2047809735360).

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

697505820480 is a wasteful number, since it uses less digits than its factorization.

697505820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43606 (or 43593 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 697505820480 in words is "six hundred ninety-seven billion, five hundred five million, eight hundred twenty thousand, four hundred eighty".