64741122948096 has 2376 divisors, whose sum is σ = 252428165109120. Its totient is φ = 16476038627328.

The previous prime is 64741122948091. The next prime is 64741122948239. The reversal of 64741122948096 is 69084922114746.

64741122948096 is a `hidden beast` number, since 6 + 4 + 7 + 41 + 1 + 2 + 29 + 480 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64741122948091) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 66950488605 + ... + 66950489571.

Almost surely, 2^{64741122948096} 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 64741122948096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126214082554560).

64741122948096 is an abundant number, since it is smaller than the sum of its proper divisors (187687042161024).

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

64741122948096 is a wasteful number, since it uses less digits than its factorization.

64741122948096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 64741122948096 in words is "sixty-four trillion, seven hundred forty-one billion, one hundred twenty-two million, nine hundred forty-eight thousand, ninety-six".