3611262667968 has 560 divisors, whose sum is σ = 11242034960640. Its totient is φ = 1144826265600.

The previous prime is 3611262667967. The next prime is 3611262668003. The reversal of 3611262667968 is 8697662621163.

3611262667968 is a `hidden beast` number, since 3 + 611 + 2 + 6 + 2 + 6 + 6 + 7 + 9 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (3611262667967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6346682788 + ... + 6346683356.

Almost surely, 2^{3611262667968} 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 3611262667968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5621017480320).

3611262667968 is an abundant number, since it is smaller than the sum of its proper divisors (7630772292672).

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

3611262667968 is a wasteful number, since it uses less digits than its factorization.

3611262667968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1219 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 3611262667968 in words is "three trillion, six hundred eleven billion, two hundred sixty-two million, six hundred sixty-seven thousand, nine hundred sixty-eight".