65164673664000 has 880 divisors, whose sum is σ = 245007434848176. Its totient is φ = 17223155712000.

The previous prime is 65164673663981. The next prime is 65164673664019. The reversal of 65164673664000 is 46637646156.

65164673664000 is a `hidden beast` number, since 6 + 5 + 164 + 6 + 73 + 6 + 6 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (65164673663981) and next prime (65164673664019).

It can be written as a sum of positive squares in 8 ways, for example, as 56658258100224 + 8506415563776 = 7527168^2 + 2916576^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1171556190 + ... + 1171611810.

Almost surely, 2^{65164673664000} is an apocalyptic number.

65164673664000 is a gapful number since it is divisible by the number (60) 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 65164673664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122503717424088).

65164673664000 is an abundant number, since it is smaller than the sum of its proper divisors (179842761184176).

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

65164673664000 is a wasteful number, since it uses less digits than its factorization.

65164673664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55781 (or 55744 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 65164673664000 in words is "sixty-five trillion, one hundred sixty-four billion, six hundred seventy-three million, six hundred sixty-four thousand".