7851247488 has 768 divisors, whose sum is σ = 29846016000. Its totient is φ = 1985679360.

The previous prime is 7851247483. The next prime is 7851247499. The reversal of 7851247488 is 8847421587.

7851247488 is a `hidden beast` number, since 7 + 8 + 512 + 47 + 4 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4014080) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7851247483) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 253266033 + ... + 253266063.

It is an arithmetic number, because the mean of its divisors is an integer number (38862000).

Almost surely, 2^7851247488 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 7851247488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14923008000).

7851247488 is an abundant number, since it is smaller than the sum of its proper divisors (21994768512).

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

7851247488 is a wasteful number, since it uses less digits than its factorization.

7851247488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 91 counting only the distinct ones).

The product of its digits is 4014080, while the sum is 54.

The square root of 7851247488 is about 88607.2654357418. The cubic root of 7851247488 is about 1987.5263227557.

The spelling of 7851247488 in words is "seven billion, eight hundred fifty-one million, two hundred forty-seven thousand, four hundred eighty-eight".