75785045472 has 192 divisors, whose sum is σ = 227199651840. Its totient is φ = 24564653568.

The previous prime is 75785045461. The next prime is 75785045473. The reversal of 75785045472 is 27454058757.

75785045472 is a `hidden beast` number, since 7 + 5 + 78 + 50 + 454 + 72 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75785045473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6369513 + ... + 6381399.

It is an arithmetic number, because the mean of its divisors is an integer number (1183331520).

Almost surely, 2^75785045472 is an apocalyptic number.

75785045472 is a gapful number since it is divisible by the number (72) 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 75785045472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113599825920).

75785045472 is an abundant number, since it is smaller than the sum of its proper divisors (151414606368).

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

75785045472 is a wasteful number, since it uses less digits than its factorization.

75785045472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12110 (or 12096 counting only the distinct ones).

The product of its (nonzero) digits is 10976000, while the sum is 54.

The spelling of 75785045472 in words is "seventy-five billion, seven hundred eighty-five million, forty-five thousand, four hundred seventy-two".