697745664000 has 3840 divisors, whose sum is σ = 3561855897600. Its totient is φ = 131383296000.

The previous prime is 697745663987. The next prime is 697745664061. The reversal of 697745664000 is 466547796.

697745664000 is a `hidden beast` number, since 6 + 9 + 7 + 74 + 566 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 30336767989 + ... + 30336768011.

It is an arithmetic number, because the mean of its divisors is an integer number (927566640).

Almost surely, 2^697745664000 is an apocalyptic number.

697745664000 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 697745664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780927948800).

697745664000 is an abundant number, since it is smaller than the sum of its proper divisors (2864110233600).

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

697745664000 is a wasteful number, since it uses less digits than its factorization.

697745664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 697745664000 in words is "six hundred ninety-seven billion, seven hundred forty-five million, six hundred sixty-four thousand".