42756544486656 has 3456 divisors, whose sum is σ = 182304560148480. Its totient is φ = 9697547059200.

The previous prime is 42756544486631. The next prime is 42756544486661. The reversal of 42756544486656 is 65668444565724.

42756544486656 is a `hidden beast` number, since 4 + 2 + 7 + 56 + 5 + 44 + 486 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 383 ways as a sum of consecutive naturals, for example, 145926772846 + ... + 145926773138.

It is an arithmetic number, because the mean of its divisors is an integer number (52750162080).

Almost surely, 2^{42756544486656} is an apocalyptic number.

42756544486656 is a gapful number since it is divisible by the number (46) 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 42756544486656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91152280074240).

42756544486656 is an abundant number, since it is smaller than the sum of its proper divisors (139548015661824).

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

42756544486656 is a wasteful number, since it uses less digits than its factorization.

42756544486656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 483 counting only the distinct ones).

The product of its digits is 4644864000, while the sum is 72.

The spelling of 42756544486656 in words is "forty-two trillion, seven hundred fifty-six billion, five hundred forty-four million, four hundred eighty-six thousand, six hundred fifty-six".