7867448352 has 120 divisors (see below), whose sum is σ = 23286526956. Its totient is φ = 2605644288.

The previous prime is 7867448341. The next prime is 7867448359. The reversal of 7867448352 is 2538447687.

It can be written as a sum of positive squares in 2 ways, for example, as 7659050256 + 208398096 = 87516^2 + 14436^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (7867448359) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 397278 + ... + 416610.

Almost surely, 2^7867448352 is an apocalyptic number.

7867448352 is a gapful number since it is divisible by the number (72) 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 7867448352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11643263478).

7867448352 is an abundant number, since it is smaller than the sum of its proper divisors (15419078604).

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

7867448352 is a wasteful number, since it uses less digits than its factorization.

7867448352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19512 (or 19495 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The square root of 7867448352 is about 88698.6378249407. The cubic root of 7867448352 is about 1988.8924547545.

The spelling of 7867448352 in words is "seven billion, eight hundred sixty-seven million, four hundred forty-eight thousand, three hundred fifty-two".