7681443840 has 768 divisors, whose sum is σ = 32235840000. Its totient is φ = 1755758592.

The previous prime is 7681443751. The next prime is 7681443901. The reversal of 7681443840 is 483441867.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2520 × 1512 × 2016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1097349117 + ... + 1097349123.

It is an arithmetic number, because the mean of its divisors is an integer number (41973750).

Almost surely, 2^7681443840 is an apocalyptic number.

7681443840 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 7681443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16117920000).

7681443840 is an abundant number, since it is smaller than the sum of its proper divisors (24554396160).

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

7681443840 is an frugal number, since it uses more digits than its factorization.

7681443840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 7681443840 is about 87643.8465609537. The cubic root of 7681443840 is about 1973.0932911491.

The spelling of 7681443840 in words is "seven billion, six hundred eighty-one million, four hundred forty-three thousand, eight hundred forty".