7623076824064 has 99 divisors (see below), whose sum is σ = 16503574118607. Its totient is φ = 3517813039104.

The previous prime is 7623076824029. The next prime is 7623076824067. The reversal of 7623076824064 is 4604286703267.

It is a happy number.

The square root of 7623076824064 is 2760992.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5764762584064 + 1858314240000 = 2400992^2 + 1363200^2 .

It is a super-2 number, since 2×7623076824064² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7623076823996 and 7623076824014.

It is not an unprimeable number, because it can be changed into a prime (7623076824067) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1148569354 + ... + 1148575990.

Almost surely, 2^{7623076824064} is an apocalyptic number.

7623076824064 is the 2760992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7623076824064

7623076824064 is an abundant number, since it is smaller than the sum of its proper divisors (8880497294543).

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

7623076824064 is an frugal number, since it uses more digits than its factorization.

7623076824064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13320 (or 6652 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 55.

The spelling of 7623076824064 in words is "seven trillion, six hundred twenty-three billion, seventy-six million, eight hundred twenty-four thousand, sixty-four".