6996528000 has 768 divisors, whose sum is σ = 31375918080. Its totient is φ = 1451520000.

The previous prime is 6996527999. The next prime is 6996528013. The reversal of 6996528000 is 8256996.

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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11087685 + ... + 11088315.

It is an arithmetic number, because the mean of its divisors is an integer number (40854060).

Almost surely, 2^6996528000 is an apocalyptic number.

6996528000 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 6996528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15687959040).

6996528000 is an abundant number, since it is smaller than the sum of its proper divisors (24379390080).

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

6996528000 is a wasteful number, since it uses less digits than its factorization.

6996528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 6996528000 is about 83645.2509112143. The cubic root of 6996528000 is about 1912.6148591789.

The spelling of 6996528000 in words is "six billion, nine hundred ninety-six million, five hundred twenty-eight thousand".