681916248000 has 672 divisors, whose sum is σ = 2638741577472. Its totient is φ = 167104512000.

The previous prime is 681916247917. The next prime is 681916248011. The reversal of 681916248000 is 842619186.

681916248000 is a `hidden beast` number, since 6 + 8 + 1 + 9 + 162 + 480 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 225574489 + ... + 225577511.

It is an arithmetic number, because the mean of its divisors is an integer number (3926698776).

Almost surely, 2^681916248000 is an apocalyptic number.

681916248000 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 681916248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319370788736).

681916248000 is an abundant number, since it is smaller than the sum of its proper divisors (1956825329472).

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

681916248000 is a wasteful number, since it uses less digits than its factorization.

681916248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3310 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 681916248000 in words is "six hundred eighty-one billion, nine hundred sixteen million, two hundred forty-eight thousand".