7721446656 has 432 divisors, whose sum is σ = 27246094848. Its totient is φ = 1916006400.

The previous prime is 7721446637. The next prime is 7721446657. The reversal of 7721446656 is 6566441277.

It is a super-2 number, since 2×7721446656² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7721446657) 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, 9520491 + ... + 9521301.

It is an arithmetic number, because the mean of its divisors is an integer number (63069664).

Almost surely, 2^7721446656 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 7721446656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13623047424).

7721446656 is an abundant number, since it is smaller than the sum of its proper divisors (19524648192).

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

7721446656 is a wasteful number, since it uses less digits than its factorization.

7721446656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 857 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 48.

The square root of 7721446656 is about 87871.7625634083. The cubic root of 7721446656 is about 1976.5124690472.

The spelling of 7721446656 in words is "seven billion, seven hundred twenty-one million, four hundred forty-six thousand, six hundred fifty-six".