612927381543680 has 864 divisors, whose sum is σ = 1824213291264000. Its totient is φ = 196164590469120.

The previous prime is 612927381543583. The next prime is 612927381543683. The reversal of 612927381543680 is 86345183729216.

It is not an unprimeable number, because it can be changed into a prime (612927381543683) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47918638085 + ... + 47918650875.

It is an arithmetic number, because the mean of its divisors is an integer number (2111357976000).

It is a 1-persistent number, because it is pandigital, but 2⋅612927381543680 = 1225854763087360 is not.

Almost surely, 2^{612927381543680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612927381543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912106645632000).

612927381543680 is an abundant number, since it is smaller than the sum of its proper divisors (1211285909720320).

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

612927381543680 is a wasteful number, since it uses less digits than its factorization.

612927381543680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13433 (or 13412 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 65.

The spelling of 612927381543680 in words is "six hundred twelve trillion, nine hundred twenty-seven billion, three hundred eighty-one million, five hundred forty-three thousand, six hundred eighty".