75681371782656 has 640 divisors, whose sum is σ = 244996944192000. Its totient is φ = 22975689719808.

The previous prime is 75681371782579. The next prime is 75681371782693. The reversal of 75681371782656 is 65628717318657.

75681371782656 is a `hidden beast` number, since 7 + 5 + 68 + 137 + 178 + 265 + 6 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1774745271 + ... + 1774787913.

It is an arithmetic number, because the mean of its divisors is an integer number (382807725300).

Almost surely, 2^{75681371782656} is an apocalyptic number.

75681371782656 is a gapful number since it is divisible by the number (76) 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 75681371782656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122498472096000).

75681371782656 is an abundant number, since it is smaller than the sum of its proper divisors (169315572409344).

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

75681371782656 is a wasteful number, since it uses less digits than its factorization.

75681371782656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42951 (or 42929 counting only the distinct ones).

The product of its digits is 711244800, while the sum is 72.

The spelling of 75681371782656 in words is "seventy-five trillion, six hundred eighty-one billion, three hundred seventy-one million, seven hundred eighty-two thousand, six hundred fifty-six".