42776936806464 has 945 divisors, whose sum is σ = 155907374362047. Its totient is φ = 11561766999552.

The previous prime is 42776936806423. The next prime is 42776936806481. The reversal of 42776936806464 is 46460863967724.

The square root of 42776936806464 is 6540408.

It is a perfect power (a square), and thus also a powerful number.

42776936806464 is a `hidden beast` number, since 4 + 2 + 7 + 76 + 93 + 6 + 8 + 0 + 6 + 464 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42776936806392 and 42776936806401.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 62630946667 + ... + 62630947349.

Almost surely, 2^{42776936806464} is an apocalyptic number.

42776936806464 is the 6540408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42776936806464

42776936806464 is an abundant number, since it is smaller than the sum of its proper divisors (113130437555583).

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

42776936806464 is an frugal number, since it uses more digits than its factorization.

42776936806464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 1755758592, while the sum is 72.

The spelling of 42776936806464 in words is "forty-two trillion, seven hundred seventy-six billion, nine hundred thirty-six million, eight hundred six thousand, four hundred sixty-four".