73434782863656 has 640 divisors, whose sum is σ = 215993214835200. Its totient is φ = 23291322163200.

The previous prime is 73434782863639. The next prime is 73434782863703. The reversal of 73434782863656 is 65636828743437.

73434782863656 is a `hidden beast` number, since 7 + 3 + 43 + 478 + 2 + 8 + 63 + 6 + 56 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 123836058496 + ... + 123836059088.

It is an arithmetic number, because the mean of its divisors is an integer number (337489398180).

Almost surely, 2^{73434782863656} 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 73434782863656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107996607417600).

73434782863656 is an abundant number, since it is smaller than the sum of its proper divisors (142558431971544).

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

73434782863656 is a wasteful number, since it uses less digits than its factorization.

73434782863656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1378 counting only the distinct ones).

The product of its digits is 2926264320, while the sum is 72.

The spelling of 73434782863656 in words is "seventy-three trillion, four hundred thirty-four billion, seven hundred eighty-two million, eight hundred sixty-three thousand, six hundred fifty-six".