64974186009408 has 448 divisors, whose sum is σ = 188771656227840. Its totient is φ = 19603318505472.

The previous prime is 64974186009379. The next prime is 64974186009409. The reversal of 64974186009408 is 80490068147946.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64974186009409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18083545660 + ... + 18083549252.

It is an arithmetic number, because the mean of its divisors is an integer number (421365304080).

Almost surely, 2^{64974186009408} 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 64974186009408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94385828113920).

64974186009408 is an abundant number, since it is smaller than the sum of its proper divisors (123797470218432).

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

64974186009408 is a wasteful number, since it uses less digits than its factorization.

64974186009408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4306 (or 4296 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 66.

The spelling of 64974186009408 in words is "sixty-four trillion, nine hundred seventy-four billion, one hundred eighty-six million, nine thousand, four hundred eight".