7821973152 has 144 divisors (see below), whose sum is σ = 25533930240. Its totient is φ = 2224958976.

The previous prime is 7821973127. The next prime is 7821973157. The reversal of 7821973152 is 2513791287.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×7821973152² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7821973098 and 7821973107.

It is not an unprimeable number, because it can be changed into a prime (7821973157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 453193 + ... + 470135.

It is an arithmetic number, because the mean of its divisors is an integer number (177318960).

Almost surely, 2^7821973152 is an apocalyptic number.

7821973152 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 7821973152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12766965120).

7821973152 is an abundant number, since it is smaller than the sum of its proper divisors (17711957088).

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

7821973152 is a wasteful number, since it uses less digits than its factorization.

7821973152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17195 (or 17184 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 7821973152 is about 88441.9196535218. The cubic root of 7821973152 is about 1985.0530012264.

The spelling of 7821973152 in words is "seven billion, eight hundred twenty-one million, nine hundred seventy-three thousand, one hundred fifty-two".