7685821440 has 528 divisors, whose sum is σ = 29659556160. Its totient is φ = 1824522240.

The previous prime is 7685821417. The next prime is 7685821459. The reversal of 7685821440 is 441285867.

7685821440 is a `hidden beast` number, since 7 + 68 + 582 + 1 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29905792 + ... + 29906048.

Almost surely, 2^7685821440 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 7685821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14829778080).

7685821440 is an abundant number, since it is smaller than the sum of its proper divisors (21973734720).

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

7685821440 is a wasteful number, since it uses less digits than its factorization.

7685821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 7685821440 is about 87668.8168050647. The cubic root of 7685821440 is about 1973.4680372294.

The spelling of 7685821440 in words is "seven billion, six hundred eighty-five million, eight hundred twenty-one thousand, four hundred forty".