7722152886420 has 288 divisors, whose sum is σ = 27786474713088. Its totient is φ = 1763483052672.

The previous prime is 7722152886401. The next prime is 7722152886457. The reversal of 7722152886420 is 246882512277.

It is a happy number.

7722152886420 is a `hidden beast` number, since 7 + 72 + 2 + 1 + 528 + 8 + 6 + 42 + 0 = 666.

It is a super-3 number, since 3×7722152886420³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38103397 + ... + 38305523.

It is an arithmetic number, because the mean of its divisors is an integer number (96480814976).

Almost surely, 2^{7722152886420} is an apocalyptic number.

7722152886420 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 7722152886420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13893237356544).

7722152886420 is an abundant number, since it is smaller than the sum of its proper divisors (20064321826668).

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

7722152886420 is a wasteful number, since it uses less digits than its factorization.

7722152886420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203281 (or 203267 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 7722152886420 in words is "seven trillion, seven hundred twenty-two billion, one hundred fifty-two million, eight hundred eighty-six thousand, four hundred twenty".