7821627840 has 448 divisors, whose sum is σ = 30109363200. Its totient is φ = 1899859968.

The previous prime is 7821627829. The next prime is 7821627857. The reversal of 7821627840 is 487261287.

It is a super-2 number, since 2×7821627840² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9322141 + ... + 9322979.

It is an arithmetic number, because the mean of its divisors is an integer number (67208400).

Almost surely, 2^7821627840 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 7821627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15054681600).

7821627840 is an abundant number, since it is smaller than the sum of its proper divisors (22287735360).

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

7821627840 is a wasteful number, since it uses less digits than its factorization.

7821627840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 7821627840 is about 88439.9674355435. The cubic root of 7821627840 is about 1985.0237898115.

The spelling of 7821627840 in words is "seven billion, eight hundred twenty-one million, six hundred twenty-seven thousand, eight hundred forty".