7974489600 has 1440 divisors, whose sum is σ = 37994711040. Its totient is φ = 1548288000.

The previous prime is 7974489599. The next prime is 7974489613. The reversal of 7974489600 is 69844797.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 257241585 + ... + 257241615.

It is an arithmetic number, because the mean of its divisors is an integer number (26385216).

Almost surely, 2^7974489600 is an apocalyptic number.

7974489600 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 7974489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18997355520).

7974489600 is an abundant number, since it is smaller than the sum of its proper divisors (30020221440).

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

7974489600 is a wasteful number, since it uses less digits than its factorization.

7974489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 7974489600 is about 89299.9977603583. The cubic root of 7974489600 is about 1997.8718696672.

The spelling of 7974489600 in words is "seven billion, nine hundred seventy-four million, four hundred eighty-nine thousand, six hundred".