64169678200104 has 320 divisors, whose sum is σ = 191147596200000. Its totient is φ = 20055413790720.

The previous prime is 64169678200093. The next prime is 64169678200109. The reversal of 64169678200104 is 40100287696146.

64169678200104 is a `hidden beast` number, since 6 + 416 + 9 + 6 + 7 + 8 + 200 + 10 + 4 = 666.

It is a super-2 number, since 2×64169678200104² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (64169678200109) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 961324522 + ... + 961391270.

It is an arithmetic number, because the mean of its divisors is an integer number (597336238125).

Almost surely, 2^{64169678200104} 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 64169678200104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95573798100000).

64169678200104 is an abundant number, since it is smaller than the sum of its proper divisors (126977917999896).

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

64169678200104 is a wasteful number, since it uses less digits than its factorization.

64169678200104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67590 (or 67577 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 64169678200104 in words is "sixty-four trillion, one hundred sixty-nine billion, six hundred seventy-eight million, two hundred thousand, one hundred four".