681267978240 has 224 divisors, whose sum is σ = 2274713231616. Its totient is φ = 173771980800.

The previous prime is 681267978211. The next prime is 681267978271. The reversal of 681267978240 is 42879762186.

It is a happy number.

It is a super-2 number, since 2×681267978240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2705715 + ... + 2946765.

It is an arithmetic number, because the mean of its divisors is an integer number (10154969784).

Almost surely, 2^681267978240 is an apocalyptic number.

681267978240 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 681267978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137356615808).

681267978240 is an abundant number, since it is smaller than the sum of its proper divisors (1593445253376).

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

681267978240 is a wasteful number, since it uses less digits than its factorization.

681267978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241108 (or 241084 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 681267978240 in words is "six hundred eighty-one billion, two hundred sixty-seven million, nine hundred seventy-eight thousand, two hundred forty".