64074136320 has 360 divisors, whose sum is σ = 229981641120. Its totient is φ = 17033379840.

The previous prime is 64074136309. The next prime is 64074136327. The reversal of 64074136320 is 2363147046.

It is a happy number.

64074136320 is a `hidden beast` number, since 6 + 4 + 0 + 7 + 4 + 13 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64074136327) 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 39 ways as a sum of consecutive naturals, for example, 42404365 + ... + 42405875.

It is an arithmetic number, because the mean of its divisors is an integer number (638837892).

Almost surely, 2^64074136320 is an apocalyptic number.

64074136320 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 64074136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114990820560).

64074136320 is an abundant number, since it is smaller than the sum of its proper divisors (165907504800).

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

64074136320 is a wasteful number, since it uses less digits than its factorization.

64074136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 64074136320 in words is "sixty-four billion, seventy-four million, one hundred thirty-six thousand, three hundred twenty".