7821153720 has 256 divisors, whose sum is σ = 26484480000. Its totient is φ = 2052864000.

The previous prime is 7821153709. The next prime is 7821153733. The reversal of 7821153720 is 273511287.

7821153720 is a `hidden beast` number, since 78 + 211 + 5 + 372 + 0 = 666.

It is a super-2 number, since 2×7821153720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32452800 + ... + 32453040.

It is an arithmetic number, because the mean of its divisors is an integer number (103455000).

Almost surely, 2^7821153720 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 7821153720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13242240000).

7821153720 is an abundant number, since it is smaller than the sum of its proper divisors (18663326280).

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

7821153720 is a wasteful number, since it uses less digits than its factorization.

7821153720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 7821153720 is about 88437.2869326055. The cubic root of 7821153720 is about 1984.9836805778.

The spelling of 7821153720 in words is "seven billion, eight hundred twenty-one million, one hundred fifty-three thousand, seven hundred twenty".