681974360100 has 432 divisors, whose sum is σ = 2349853099776. Its totient is φ = 164063232000.

The previous prime is 681974360017. The next prime is 681974360153. The reversal of 681974360100 is 1063479186.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1181931012 + ... + 1181931588.

It is an arithmetic number, because the mean of its divisors is an integer number (5439474768).

Almost surely, 2^681974360100 is an apocalyptic number.

681974360100 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 681974360100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174926549888).

681974360100 is an abundant number, since it is smaller than the sum of its proper divisors (1667878739676).

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

681974360100 is a wasteful number, since it uses less digits than its factorization.

681974360100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 681974360100 in words is "six hundred eighty-one billion, nine hundred seventy-four million, three hundred sixty thousand, one hundred".