7966605312 has 420 divisors, whose sum is σ = 25786318320. Its totient is φ = 2452488192.

The previous prime is 7966605239. The next prime is 7966605329. The reversal of 7966605312 is 2135066697.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 274710514 + ... + 274710542.

It is an arithmetic number, because the mean of its divisors is an integer number (61395996).

Almost surely, 2^7966605312 is an apocalyptic number.

7966605312 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 7966605312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12893159160).

7966605312 is an abundant number, since it is smaller than the sum of its proper divisors (17819713008).

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

7966605312 is an frugal number, since it uses more digits than its factorization.

7966605312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 7966605312 is about 89255.8418928419. The cubic root of 7966605312 is about 1997.2132280880.

It can be divided in two parts, 7966 and 605312, that added together give a triangular number (613278 = T₁₁₀₇).

The spelling of 7966605312 in words is "seven billion, nine hundred sixty-six million, six hundred five thousand, three hundred twelve".