7966466176032 has 1728 divisors, whose sum is σ = 31446266342400. Its totient is φ = 1962060226560.

The previous prime is 7966466175979. The next prime is 7966466176043. The reversal of 7966466176032 is 2306716646697.

7966466176032 is a `hidden beast` number, since 7 + 9 + 6 + 6 + 4 + 6 + 6 + 17 + 603 + 2 = 666.

It is a super-2 number, since 2×7966466176032² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4453026594 + ... + 4453028382.

It is an arithmetic number, because the mean of its divisors is an integer number (18198070800).

Almost surely, 2^{7966466176032} is an apocalyptic number.

7966466176032 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 7966466176032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15723133171200).

7966466176032 is an abundant number, since it is smaller than the sum of its proper divisors (23479800166368).

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

7966466176032 is a wasteful number, since it uses less digits than its factorization.

7966466176032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 7966466176032 in words is "seven trillion, nine hundred sixty-six billion, four hundred sixty-six million, one hundred seventy-six thousand, thirty-two".