8966777156064 has 480 divisors, whose sum is σ = 32467253708736. Its totient is φ = 2364093112320.

The previous prime is 8966777156053. The next prime is 8966777156131. The reversal of 8966777156064 is 4606517776698.

It is a happy number.

8966777156064 is a `hidden beast` number, since 8 + 9 + 6 + 6 + 7 + 7 + 7 + 1 + 5 + 606 + 4 = 666.

It is a super-2 number, since 2×8966777156064² (a number of 27 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 = 8966777155983 and 8966777156001.

It is a congruent number.

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, 1310737284 + ... + 1310744124.

Almost surely, 2^{8966777156064} is an apocalyptic number.

8966777156064 is a gapful number since it is divisible by the number (84) 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 8966777156064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16233626854368).

8966777156064 is an abundant number, since it is smaller than the sum of its proper divisors (23500476552672).

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

8966777156064 is a wasteful number, since it uses less digits than its factorization.

8966777156064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12440 (or 12423 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 8966777156064 in words is "eight trillion, nine hundred sixty-six billion, seven hundred seventy-seven million, one hundred fifty-six thousand, sixty-four".