75986786220480 has 336 divisors, whose sum is σ = 281829048228000. Its totient is φ = 18728449966080.

The previous prime is 75986786220451. The next prime is 75986786220599. The reversal of 75986786220480 is 8402268768957.

75986786220480 is a `hidden beast` number, since 7 + 5 + 9 + 8 + 67 + 8 + 62 + 20 + 480 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 75986786220399 and 75986786220408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14691205 + ... + 19178244.

It is an arithmetic number, because the mean of its divisors is an integer number (838776929250).

Almost surely, 2^{75986786220480} is an apocalyptic number.

It is an amenable number.

75986786220480 is an abundant number, since it is smaller than the sum of its proper divisors (205842262007520).

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

75986786220480 is a wasteful number, since it uses less digits than its factorization.

75986786220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33869532 (or 33869519 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 75986786220480 in words is "seventy-five trillion, nine hundred eighty-six billion, seven hundred eighty-six million, two hundred twenty thousand, four hundred eighty".