7840435680 has 576 divisors, whose sum is σ = 34448633856. Its totient is φ = 1575936000.

The previous prime is 7840435663. The next prime is 7840435763. The reversal of 7840435680 is 865340487.

7840435680 is a `hidden beast` number, since 7 + 8 + 40 + 43 + 568 + 0 = 666.

It is a super-2 number, since 2×7840435680² (a number of 21 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3436140 + ... + 3438420.

It is an arithmetic number, because the mean of its divisors is an integer number (59806656).

Almost surely, 2^7840435680 is an apocalyptic number.

7840435680 is a gapful number since it is divisible by the number (70) 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 7840435680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17224316928).

7840435680 is an abundant number, since it is smaller than the sum of its proper divisors (26608198176).

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

7840435680 is a wasteful number, since it uses less digits than its factorization.

7840435680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 7840435680 is about 88546.2347025553. The cubic root of 7840435680 is about 1986.6135750467.

The spelling of 7840435680 in words is "seven billion, eight hundred forty million, four hundred thirty-five thousand, six hundred eighty".