690131953728 has 336 divisors, whose sum is σ = 2361808490496. Its totient is φ = 188518026240.

The previous prime is 690131953727. The next prime is 690131953769. The reversal of 690131953728 is 827359131096.

690131953728 is a `hidden beast` number, since 6 + 90 + 1 + 3 + 19 + 537 + 2 + 8 = 666.

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

It is a super-2 number, since 2×690131953728² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (690131953727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10341075 + ... + 10407597.

It is an arithmetic number, because the mean of its divisors is an integer number (7029191936).

Almost surely, 2^690131953728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690131953728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180904245248).

690131953728 is an abundant number, since it is smaller than the sum of its proper divisors (1671676536768).

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

690131953728 is a wasteful number, since it uses less digits than its factorization.

690131953728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66662 (or 66649 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 690131953728 in words is "six hundred ninety billion, one hundred thirty-one million, nine hundred fifty-three thousand, seven hundred twenty-eight".