686706048000 has 2112 divisors, whose sum is σ = 3035176574976. Its totient is φ = 145981440000.

The previous prime is 686706047977. The next prime is 686706048029. The reversal of 686706048000 is 840607686.

It is a happy number.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10249343967 + ... + 10249344033.

Almost surely, 2^686706048000 is an apocalyptic number.

686706048000 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 686706048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517588287488).

686706048000 is an abundant number, since it is smaller than the sum of its proper divisors (2348470526976).

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

686706048000 is a wasteful number, since it uses less digits than its factorization.

686706048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 686706048000 in words is "six hundred eighty-six billion, seven hundred six million, forty-eight thousand".