4164363698976 has 576 divisors, whose sum is σ = 13761093265920. Its totient is φ = 1183166300160.

The previous prime is 4164363698933. The next prime is 4164363698981. The reversal of 4164363698976 is 6798963634614.

4164363698976 is a `hidden beast` number, since 4 + 1 + 6 + 436 + 36 + 98 + 9 + 76 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 819592756 + ... + 819597836.

It is an arithmetic number, because the mean of its divisors is an integer number (23890786920).

Almost surely, 2^{4164363698976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4164363698976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6880546632960).

4164363698976 is an abundant number, since it is smaller than the sum of its proper divisors (9596729566944).

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

4164363698976 is a wasteful number, since it uses less digits than its factorization.

4164363698976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5369 (or 5358 counting only the distinct ones).

The product of its digits is 846526464, while the sum is 72.

The spelling of 4164363698976 in words is "four trillion, one hundred sixty-four billion, three hundred sixty-three million, six hundred ninety-eight thousand, nine hundred seventy-six".