681503760 has 480 divisors, whose sum is σ = 2809105920. Its totient is φ = 151345152.

The previous prime is 681503737. The next prime is 681503813. The reversal of 681503760 is 67305186.

681503760 is a `hidden beast` number, since 6 + 81 + 503 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4974412 + ... + 4974548.

It is an arithmetic number, because the mean of its divisors is an integer number (5852304).

Almost surely, 2^681503760 is an apocalyptic number.

681503760 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 681503760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404552960).

681503760 is an abundant number, since it is smaller than the sum of its proper divisors (2127602160).

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

681503760 is a wasteful number, since it uses less digits than its factorization.

681503760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 681503760 is about 26105.6269796379. The cubic root of 681503760 is about 880.0136705865.

The spelling of 681503760 in words is "six hundred eighty-one million, five hundred three thousand, seven hundred sixty".