7966006272 has 528 divisors, whose sum is σ = 28373712640. Its totient is φ = 2102132736.

The previous prime is 7966006271. The next prime is 7966006289. The reversal of 7966006272 is 2726006697.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7966006271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82123728 + ... + 82123824.

Almost surely, 2^7966006272 is an apocalyptic number.

7966006272 is a gapful number since it is divisible by the number (72) 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 7966006272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14186856320).

7966006272 is an abundant number, since it is smaller than the sum of its proper divisors (20407706368).

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

7966006272 is a wasteful number, since it uses less digits than its factorization.

7966006272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 7966006272 is about 89252.4860830218. The cubic root of 7966006272 is about 1997.1631674263.

The spelling of 7966006272 in words is "seven billion, nine hundred sixty-six million, six thousand, two hundred seventy-two".