7852464000 has 640 divisors, whose sum is σ = 29919970080. Its totient is φ = 2040422400.

The previous prime is 7852463981. The next prime is 7852464013. The reversal of 7852464000 is 4642587.

7852464000 = T₁₄₆₃₁ + T₁₄₆₃₂ + ... + T₁₄₇₀₃.

7852464000 is a `hidden beast` number, since 7 + 8 + 5 + 2 + 4 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×7852464000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 94607959 + ... + 94608041.

Almost surely, 2^7852464000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7852464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14959985040).

7852464000 is an abundant number, since it is smaller than the sum of its proper divisors (22067506080).

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

7852464000 is an equidigital number, since it uses as much as digits as its factorization.

7852464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 7852464000 is about 88614.1297988080. The cubic root of 7852464000 is about 1987.6289699150.

The spelling of 7852464000 in words is "seven billion, eight hundred fifty-two million, four hundred sixty-four thousand".