7722973440 has 864 divisors, whose sum is σ = 33748565760. Its totient is φ = 1587216384.

The previous prime is 7722973421. The next prime is 7722973463. The reversal of 7722973440 is 443792277.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55560891 + ... + 55561029.

It is an arithmetic number, because the mean of its divisors is an integer number (39060840).

Almost surely, 2^7722973440 is an apocalyptic number.

7722973440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7722973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16874282880).

7722973440 is an abundant number, since it is smaller than the sum of its proper divisors (26025592320).

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

7722973440 is a wasteful number, since it uses less digits than its factorization.

7722973440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 7722973440 is about 87880.4497029914. The cubic root of 7722973440 is about 1976.6427343058.

The spelling of 7722973440 in words is "seven billion, seven hundred twenty-two million, nine hundred seventy-three thousand, four hundred forty".