6996520272 has 240 divisors, whose sum is σ = 22387352832. Its totient is φ = 1870848000.

The previous prime is 6996520247. The next prime is 6996520303. The reversal of 6996520272 is 2720256996.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9315897 + ... + 9316647.

Almost surely, 2^6996520272 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 6996520272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11193676416).

6996520272 is an abundant number, since it is smaller than the sum of its proper divisors (15390832560).

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

6996520272 is a wasteful number, since it uses less digits than its factorization.

6996520272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 6996520272 is about 83645.2047161103. The cubic root of 6996520272 is about 1912.6141549871.

The spelling of 6996520272 in words is "six billion, nine hundred ninety-six million, five hundred twenty thousand, two hundred seventy-two".