7722161086464 has 1008 divisors, whose sum is σ = 26438374774656. Its totient is φ = 2152464384000.

The previous prime is 7722161086421. The next prime is 7722161086489. The reversal of 7722161086464 is 4646801612277.

7722161086464 is a `hidden beast` number, since 7 + 72 + 2 + 1 + 6 + 108 + 6 + 464 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 7722161086464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11015921314 + ... + 11015922014.

Almost surely, 2^{7722161086464} 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 7722161086464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13219187387328).

7722161086464 is an abundant number, since it is smaller than the sum of its proper divisors (18716213688192).

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

7722161086464 is a wasteful number, since it uses less digits than its factorization.

7722161086464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 7722161086464 in words is "seven trillion, seven hundred twenty-two billion, one hundred sixty-one million, eighty-six thousand, four hundred sixty-four".