42566668784640 has 2464 divisors, whose sum is σ = 205572368123136. Its totient is φ = 8163919134720.

The previous prime is 42566668784593. The next prime is 42566668784657. The reversal of 42566668784640 is 4648786666524.

It is a tau number, because it is divible by the number of its divisors (2464).

It is a super-3 number, since 3×42566668784640³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3736206784 + ... + 3736218176.

Almost surely, 2^{42566668784640} is an apocalyptic number.

42566668784640 is a gapful number since it is divisible by the number (40) 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 42566668784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102786184061568).

42566668784640 is an abundant number, since it is smaller than the sum of its proper divisors (163005699338496).

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

42566668784640 is a wasteful number, since it uses less digits than its factorization.

42566668784640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11467 (or 11434 counting only the distinct ones).

The product of its (nonzero) digits is 2229534720, while the sum is 72.

The spelling of 42566668784640 in words is "forty-two trillion, five hundred sixty-six billion, six hundred sixty-eight million, seven hundred eighty-four thousand, six hundred forty".