681629325312 has 384 divisors, whose sum is σ = 2126621952000. Its totient is φ = 192270827520.

The previous prime is 681629325287. The next prime is 681629325317. The reversal of 681629325312 is 213523926186.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681629325317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47037364 + ... + 47051852.

It is an arithmetic number, because the mean of its divisors is an integer number (5538078000).

Almost surely, 2^681629325312 is an apocalyptic number.

681629325312 is a gapful number since it is divisible by the number (62) 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 681629325312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063310976000).

681629325312 is an abundant number, since it is smaller than the sum of its proper divisors (1444992626688).

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

681629325312 is a wasteful number, since it uses less digits than its factorization.

681629325312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14577 (or 14557 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The spelling of 681629325312 in words is "six hundred eighty-one billion, six hundred twenty-nine million, three hundred twenty-five thousand, three hundred twelve".