6996050460 has 576 divisors, whose sum is σ = 27247933440. Its totient is φ = 1480550400.

The previous prime is 6996050459. The next prime is 6996050473. The reversal of 6996050460 is 640506996.

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 191 ways as a sum of consecutive naturals, for example, 46331385 + ... + 46331535.

It is an arithmetic number, because the mean of its divisors is an integer number (47305440).

Almost surely, 2^6996050460 is an apocalyptic number.

6996050460 is a gapful number since it is divisible by the number (60) 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 6996050460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13623966720).

6996050460 is an abundant number, since it is smaller than the sum of its proper divisors (20251882980).

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

6996050460 is a wasteful number, since it uses less digits than its factorization.

6996050460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 6996050460 is about 83642.3963071360. The cubic root of 6996050460 is about 1912.5713437438.

The spelling of 6996050460 in words is "six billion, nine hundred ninety-six million, fifty thousand, four hundred sixty".