688090055040 has 384 divisors, whose sum is σ = 2401274509920. Its totient is φ = 181552250880.

The previous prime is 688090055011. The next prime is 688090055053. The reversal of 688090055040 is 40550090886.

688090055040 is a `hidden beast` number, since 6 + 8 + 8 + 0 + 90 + 0 + 550 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299559172 + ... + 299561468.

Almost surely, 2^688090055040 is an apocalyptic number.

688090055040 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 688090055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200637254960).

688090055040 is an abundant number, since it is smaller than the sum of its proper divisors (1713184454880).

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

688090055040 is a wasteful number, since it uses less digits than its factorization.

688090055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 688090055040 in words is "six hundred eighty-eight billion, ninety million, fifty-five thousand, forty".