75703712071680 has 3360 divisors, whose sum is σ = 345082826285568. Its totient is φ = 15479341056000.

The previous prime is 75703712071679. The next prime is 75703712071697. The reversal of 75703712071680 is 8617021730757.

75703712071680 is a `hidden beast` number, since 7 + 5 + 7 + 0 + 371 + 207 + 1 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 464439951279 + ... + 464439951441.

Almost surely, 2^{75703712071680} is an apocalyptic number.

75703712071680 is a gapful number since it is divisible by the number (70) 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 75703712071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172541413142784).

75703712071680 is an abundant number, since it is smaller than the sum of its proper divisors (269379114213888).

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

75703712071680 is a wasteful number, since it uses less digits than its factorization.

75703712071680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 54.

The spelling of 75703712071680 in words is "seventy-five trillion, seven hundred three billion, seven hundred twelve million, seventy-one thousand, six hundred eighty".