64270081774080 has 1200 divisors, whose sum is σ = 288376903556280. Its totient is φ = 13560253120512.

The previous prime is 64270081774049. The next prime is 64270081774099. The reversal of 64270081774080 is 8047718007246.

64270081774080 is a `hidden beast` number, since 6 + 427 + 0 + 0 + 8 + 177 + 40 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53009815654656 + 11260266119424 = 7280784^2 + 3355632^2 .

It is a super-2 number, since 2×64270081774080² (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 an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 131845036 + ... + 132331604.

Almost surely, 2^{64270081774080} is an apocalyptic number.

64270081774080 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 64270081774080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144188451778140).

64270081774080 is an abundant number, since it is smaller than the sum of its proper divisors (224106821782200).

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

64270081774080 is a wasteful number, since it uses less digits than its factorization.

64270081774080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486631 (or 486599 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 64270081774080 in words is "sixty-four trillion, two hundred seventy billion, eighty-one million, seven hundred seventy-four thousand, eighty".