7821863874 has 128 divisors (see below), whose sum is σ = 20828620800. Its totient is φ = 2147808960.

The previous prime is 7821863869. The next prime is 7821863891. The reversal of 7821863874 is 4783681287.

It is a happy number.

7821863874 is a `hidden beast` number, since 7 + 82 + 186 + 387 + 4 = 666.

It is a super-2 number, since 2×7821863874² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7821863874.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 244512 + ... + 274644.

It is an arithmetic number, because the mean of its divisors is an integer number (162723600).

Almost surely, 2^7821863874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7821863874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10414310400).

7821863874 is an abundant number, since it is smaller than the sum of its proper divisors (13006756926).

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

7821863874 is a wasteful number, since it uses less digits than its factorization.

7821863874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30197 (or 30191 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 7821863874 is about 88441.3018560898. The cubic root of 7821863874 is about 1985.0437570272.

The spelling of 7821863874 in words is "seven billion, eight hundred twenty-one million, eight hundred sixty-three thousand, eight hundred seventy-four".