966365922372480 has 3072 divisors, whose sum is σ = 4135308608471040. Its totient is φ = 211013517312000.

The previous prime is 966365922372437. The next prime is 966365922372481. The reversal of 966365922372480 is 84273229563669.

966365922372480 is a `hidden beast` number, since 9 + 6 + 6 + 3 + 6 + 59 + 2 + 23 + 72 + 480 = 666.

It is a super-2 number, since 2×966365922372480² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 966365922372399 and 966365922372408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966365922372481) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1065453056187 + ... + 1065453057093.

It is an arithmetic number, because the mean of its divisors is an integer number (1346129104320).

Almost surely, 2^{966365922372480} is an apocalyptic number.

966365922372480 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 966365922372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067654304235520).

966365922372480 is an abundant number, since it is smaller than the sum of its proper divisors (3168942686098560).

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

966365922372480 is a wasteful number, since it uses less digits than its factorization.

966365922372480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 72.

The spelling of 966365922372480 in words is "nine hundred sixty-six trillion, three hundred sixty-five billion, nine hundred twenty-two million, three hundred seventy-two thousand, four hundred eighty".