612217011406720 has 128 divisors (see below), whose sum is σ = 1467230065408800. Its totient is φ = 244276634542080.

The previous prime is 612217011406711. The next prime is 612217011406799. The reversal of 612217011406720 is 27604110712216.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×612217011406720³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 916945647 + ... + 917613073.

Almost surely, 2^{612217011406720} 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 612217011406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733615032704400).

612217011406720 is an abundant number, since it is smaller than the sum of its proper divisors (855013054002080).

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

612217011406720 is a wasteful number, since it uses less digits than its factorization.

612217011406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671016 (or 671004 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 612217011406720 in words is "six hundred twelve trillion, two hundred seventeen billion, eleven million, four hundred six thousand, seven hundred twenty".