64090147587840 has 1152 divisors, whose sum is σ = 253839651932160. Its totient is φ = 15181892812800.

The previous prime is 64090147587803. The next prime is 64090147587841. The reversal of 64090147587840 is 4878574109046.

64090147587840 is a `hidden beast` number, since 6 + 4 + 0 + 9 + 0 + 1 + 4 + 7 + 587 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×64090147587840² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64090147587841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3050013174 + ... + 3050034186.

It is an arithmetic number, because the mean of its divisors is an integer number (220346920080).

Almost surely, 2^{64090147587840} is an apocalyptic number.

64090147587840 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 64090147587840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126919825966080).

64090147587840 is an abundant number, since it is smaller than the sum of its proper divisors (189749504344320).

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

64090147587840 is a wasteful number, since it uses less digits than its factorization.

64090147587840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21238 (or 21218 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 64090147587840 in words is "sixty-four trillion, ninety billion, one hundred forty-seven million, five hundred eighty-seven thousand, eight hundred forty".