42704366552064 has 1056 divisors, whose sum is σ = 151315450513920. Its totient is φ = 11855550873600.

The previous prime is 42704366552047. The next prime is 42704366552101. The reversal of 42704366552064 is 46025566340724.

42704366552064 is a `hidden beast` number, since 4 + 2 + 70 + 4 + 366 + 5 + 5 + 206 + 4 = 666.

It is a super-2 number, since 2×42704366552064² (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 self number, because there is not a number n which added to its sum of digits gives 42704366552064.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15052648054 + ... + 15052650890.

It is an arithmetic number, because the mean of its divisors is an integer number (143291146320).

Almost surely, 2^{42704366552064} 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 42704366552064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75657725256960).

42704366552064 is an abundant number, since it is smaller than the sum of its proper divisors (108611083961856).

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

42704366552064 is a wasteful number, since it uses less digits than its factorization.

42704366552064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192 (or 3161 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 54.

The spelling of 42704366552064 in words is "forty-two trillion, seven hundred four billion, three hundred sixty-six million, five hundred fifty-two thousand, sixty-four".