64120471938432 has 1280 divisors, whose sum is σ = 240261714000000. Its totient is φ = 16867767877632.

The previous prime is 64120471938353. The next prime is 64120471938433. The reversal of 64120471938432 is 23483917402146.

64120471938432 is a `hidden beast` number, since 6 + 4 + 1 + 2 + 0 + 471 + 93 + 84 + 3 + 2 = 666.

64120471938432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×64120471938432² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64120471938433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20757677944 + ... + 20757681032.

Almost surely, 2^{64120471938432} 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 64120471938432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120130857000000).

64120471938432 is an abundant number, since it is smaller than the sum of its proper divisors (176141242061568).

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

64120471938432 is a wasteful number, since it uses less digits than its factorization.

64120471938432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 64120471938432 in words is "sixty-four trillion, one hundred twenty billion, four hundred seventy-one million, nine hundred thirty-eight thousand, four hundred thirty-two".