7974573600 has 864 divisors, whose sum is σ = 32915393280. Its totient is φ = 1666344960.

The previous prime is 7974573499. The next prime is 7974573617. The reversal of 7974573600 is 63754797.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7974573600.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 96079159 + ... + 96079241.

It is an arithmetic number, because the mean of its divisors is an integer number (38096520).

Almost surely, 2^7974573600 is an apocalyptic number.

7974573600 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 7974573600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16457696640).

7974573600 is an abundant number, since it is smaller than the sum of its proper divisors (24940819680).

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

7974573600 is a wasteful number, since it uses less digits than its factorization.

7974573600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 48.

The square root of 7974573600 is about 89300.4680838796. The cubic root of 7974573600 is about 1997.8788845632.

The spelling of 7974573600 in words is "seven billion, nine hundred seventy-four million, five hundred seventy-three thousand, six hundred".