966940002554760 has 192 divisors, whose sum is σ = 3385234608537600. Its totient is φ = 237949567252992.

The previous prime is 966940002554759. The next prime is 966940002554761. The reversal of 966940002554760 is 67455200049669.

966940002554760 is a `hidden beast` number, since 9 + 6 + 6 + 9 + 4 + 0 + 0 + 0 + 2 + 554 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (966940002554759) and next prime (966940002554761).

It is not an unprimeable number, because it can be changed into a prime (966940002554761) 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, 12063700 + ... + 45600579.

It is an arithmetic number, because the mean of its divisors is an integer number (17631430252800).

Almost surely, 2^{966940002554760} is an apocalyptic number.

966940002554760 is a gapful number since it is divisible by the number (90) 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 966940002554760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692617304268800).

966940002554760 is an abundant number, since it is smaller than the sum of its proper divisors (2418294605982840).

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

966940002554760 is a wasteful number, since it uses less digits than its factorization.

966940002554760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57667892 (or 57667885 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 966940002554760 in words is "nine hundred sixty-six trillion, nine hundred forty billion, two million, five hundred fifty-four thousand, seven hundred sixty".