7926533468100 has 243 divisors, whose sum is σ = 26907194842983. Its totient is φ = 1950876420480.

The previous prime is 7926533468071. The next prime is 7926533468153. The reversal of 7926533468100 is 18643356297.

The square root of 7926533468100 is 2815410.

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

7926533468100 is a `hidden beast` number, since 7 + 9 + 26 + 53 + 3 + 468 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2043075727044 + 5883457741056 = 1429362^2 + 2425584^2 .

It is a super-3 number, since 3×7926533468100³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1098006291 + ... + 1098013509.

It is a 1-persistent number, because it is pandigital, but 2⋅7926533468100 = 15853066936200 is not.

Almost surely, 2^{7926533468100} is an apocalyptic number.

7926533468100 is the 2815410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7926533468100

7926533468100 is an abundant number, since it is smaller than the sum of its proper divisors (18980661374883).

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

7926533468100 is a wasteful number, since it uses less digits than its factorization.

7926533468100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14484 (or 7242 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 7926533468100 in words is "seven trillion, nine hundred twenty-six billion, five hundred thirty-three million, four hundred sixty-eight thousand, one hundred".