688103005464 has 768 divisors, whose sum is σ = 2375145676800. Its totient is φ = 175575859200.

The previous prime is 688103005463. The next prime is 688103005481. The reversal of 688103005464 is 464500301886.

688103005464 is a `hidden beast` number, since 6 + 88 + 103 + 0 + 0 + 5 + 464 = 666.

It is a super-2 number, since 2×688103005464² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688103005463) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2448765004 + ... + 2448765284.

It is an arithmetic number, because the mean of its divisors is an integer number (3092637600).

Almost surely, 2^688103005464 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 688103005464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187572838400).

688103005464 is an abundant number, since it is smaller than the sum of its proper divisors (1687042671336).

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

688103005464 is a wasteful number, since it uses less digits than its factorization.

688103005464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 688103005464 in words is "six hundred eighty-eight billion, one hundred three million, five thousand, four hundred sixty-four".