7772721264 has 240 divisors, whose sum is σ = 27996493824. Its totient is φ = 1953676800.

The previous prime is 7772721263. The next prime is 7772721289. The reversal of 7772721264 is 4621272777.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7772721263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332422 + ... + 355034.

Almost surely, 2^7772721264 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 7772721264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13998246912).

7772721264 is an abundant number, since it is smaller than the sum of its proper divisors (20223772560).

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

7772721264 is a wasteful number, since it uses less digits than its factorization.

7772721264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22676 (or 22667 counting only the distinct ones).

The product of its digits is 460992, while the sum is 45.

The square root of 7772721264 is about 88163.0379694348. The cubic root of 7772721264 is about 1980.8778598896.

The spelling of 7772721264 in words is "seven billion, seven hundred seventy-two million, seven hundred twenty-one thousand, two hundred sixty-four".