7482004992 has 720 divisors, whose sum is σ = 28526674176. Its totient is φ = 1916006400.

The previous prime is 7482004979. The next prime is 7482004993. The reversal of 7482004992 is 2994002847.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7482004993) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 105380317 + ... + 105380387.

Almost surely, 2^7482004992 is an apocalyptic number.

7482004992 is a gapful number since it is divisible by the number (72) 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 7482004992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14263337088).

7482004992 is an abundant number, since it is smaller than the sum of its proper divisors (21044669184).

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

7482004992 is an equidigital number, since it uses as much as digits as its factorization.

7482004992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7482004992 is about 86498.5837571922. The cubic root of 7482004992 is about 1955.8670540828.

The spelling of 7482004992 in words is "seven billion, four hundred eighty-two million, four thousand, nine hundred ninety-two".