7006819680 has 576 divisors, whose sum is σ = 28957824000. Its totient is φ = 1577511936.

The previous prime is 7006819667. The next prime is 7006819709. The reversal of 7006819680 is 869186007.

It is a happy number.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16722511 + ... + 16722929.

It is an arithmetic number, because the mean of its divisors is an integer number (50274000).

Almost surely, 2^7006819680 is an apocalyptic number.

7006819680 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 7006819680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478912000).

7006819680 is an abundant number, since it is smaller than the sum of its proper divisors (21951004320).

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

7006819680 is a wasteful number, since it uses less digits than its factorization.

7006819680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 7006819680 is about 83706.7481150713. The cubic root of 7006819680 is about 1913.5521991682.

The spelling of 7006819680 in words is "seven billion, six million, eight hundred nineteen thousand, six hundred eighty".