42776056713600 has 2688 divisors, whose sum is σ = 190608952032000. Its totient is φ = 9274167705600.

The previous prime is 42776056713581. The next prime is 42776056713613. The reversal of 42776056713600 is 631765067724.

It is a happy number.

42776056713600 is a `hidden beast` number, since 4 + 2 + 7 + 7 + 6 + 0 + 567 + 13 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 27939944835 + ... + 27939946365.

Almost surely, 2^{42776056713600} is an apocalyptic number.

42776056713600 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 42776056713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95304476016000).

42776056713600 is an abundant number, since it is smaller than the sum of its proper divisors (147832895318400).

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

42776056713600 is a wasteful number, since it uses less digits than its factorization.

42776056713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 42776056713600 in words is "forty-two trillion, seven hundred seventy-six billion, fifty-six million, seven hundred thirteen thousand, six hundred".