688068551016 has 1024 divisors, whose sum is σ = 2671460352000. Its totient is φ = 158421381120.

The previous prime is 688068551003. The next prime is 688068551087. The reversal of 688068551016 is 610155860886.

688068551016 is a `hidden beast` number, since 6 + 8 + 80 + 6 + 8 + 551 + 0 + 1 + 6 = 666.

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 255 ways as a sum of consecutive naturals, for example, 1412871525 + ... + 1412872011.

It is an arithmetic number, because the mean of its divisors is an integer number (2608848000).

Almost surely, 2^688068551016 is an apocalyptic number.

688068551016 is a gapful number since it is divisible by the number (66) 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 688068551016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335730176000).

688068551016 is an abundant number, since it is smaller than the sum of its proper divisors (1983391800984).

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

688068551016 is a wasteful number, since it uses less digits than its factorization.

688068551016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 688068551016 in words is "six hundred eighty-eight billion, sixty-eight million, five hundred fifty-one thousand, sixteen".