681038346240 has 1728 divisors, whose sum is σ = 2936323353600. Its totient is φ = 145241800704.

The previous prime is 681038346227. The next prime is 681038346251. The reversal of 681038346240 is 42643830186.

681038346240 is a `hidden beast` number, since 6 + 8 + 10 + 3 + 8 + 3 + 4 + 624 + 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 143 ways as a sum of consecutive naturals, for example, 8205281239 + ... + 8205281321.

It is an arithmetic number, because the mean of its divisors is an integer number (1699261200).

Almost surely, 2^681038346240 is an apocalyptic number.

681038346240 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 681038346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468161676800).

681038346240 is an abundant number, since it is smaller than the sum of its proper divisors (2255285007360).

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

681038346240 is a wasteful number, since it uses less digits than its factorization.

681038346240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 681038346240 in words is "six hundred eighty-one billion, thirty-eight million, three hundred forty-six thousand, two hundred forty".