7966481250 has 576 divisors, whose sum is σ = 26930776320. Its totient is φ = 1552320000.

The previous prime is 7966481203. The next prime is 7966481269. The reversal of 7966481250 is 521846697.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 7966481250.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 274706236 + ... + 274706264.

It is an arithmetic number, because the mean of its divisors is an integer number (46754820).

Almost surely, 2^7966481250 is an apocalyptic number.

7966481250 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7966481250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13465388160).

7966481250 is an abundant number, since it is smaller than the sum of its proper divisors (18964295070).

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

7966481250 is a wasteful number, since it uses less digits than its factorization.

7966481250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 7966481250 is about 89255.1469104163. The cubic root of 7966481250 is about 1997.2028606628.

The spelling of 7966481250 in words is "seven billion, nine hundred sixty-six million, four hundred eighty-one thousand, two hundred fifty".