697600086241968 has 1600 divisors, whose sum is σ = 2662774339534848. Its totient is φ = 171088641884160.

The previous prime is 697600086241907. The next prime is 697600086241991. The reversal of 697600086241968 is 869142680006796.

697600086241968 is a `hidden beast` number, since 6 + 9 + 7 + 600 + 0 + 8 + 6 + 2 + 4 + 1 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 697600086241896 and 697600086241905.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 85166652753 + ... + 85166660943.

Almost surely, 2^{697600086241968} is an apocalyptic number.

697600086241968 is a gapful number since it is divisible by the number (68) 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 697600086241968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331387169767424).

697600086241968 is an abundant number, since it is smaller than the sum of its proper divisors (1965174253292880).

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

697600086241968 is a wasteful number, since it uses less digits than its factorization.

697600086241968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8752 (or 8737 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 697600086241968 in words is "six hundred ninety-seven trillion, six hundred billion, eighty-six million, two hundred forty-one thousand, nine hundred sixty-eight".