75854957472 has 144 divisors (see below), whose sum is σ = 254481357312. Its totient is φ = 20973703680.

The previous prime is 75854957471. The next prime is 75854957543. The reversal of 75854957472 is 27475945857.

75854957472 is a `hidden beast` number, since 7 + 5 + 8 + 5 + 495 + 74 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (75854957471) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 544383 + ... + 669374.

It is an arithmetic number, because the mean of its divisors is an integer number (1767231648).

Almost surely, 2^75854957472 is an apocalyptic number.

75854957472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

75854957472 is an abundant number, since it is smaller than the sum of its proper divisors (178626399840).

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

75854957472 is a wasteful number, since it uses less digits than its factorization.

75854957472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213811 (or 1213800 counting only the distinct ones).

The product of its digits is 98784000, while the sum is 63.

The spelling of 75854957472 in words is "seventy-five billion, eight hundred fifty-four million, nine hundred fifty-seven thousand, four hundred seventy-two".