7772312064 has 480 divisors, whose sum is σ = 25078394880. Its totient is φ = 2128896000.

The previous prime is 7772312057. The next prime is 7772312089. The reversal of 7772312064 is 4602132777.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109469149 + ... + 109469219.

It is an arithmetic number, because the mean of its divisors is an integer number (52246656).

Almost surely, 2^7772312064 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 7772312064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12539197440).

7772312064 is an abundant number, since it is smaller than the sum of its proper divisors (17306082816).

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

7772312064 is a wasteful number, since it uses less digits than its factorization.

7772312064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The square root of 7772312064 is about 88160.7172384617. The cubic root of 7772312064 is about 1980.8430977423.

The spelling of 7772312064 in words is "seven billion, seven hundred seventy-two million, three hundred twelve thousand, sixty-four".