75284404992 has 288 divisors, whose sum is σ = 226597512960. Its totient is φ = 24651325440.

The previous prime is 75284404991. The next prime is 75284405081. The reversal of 75284404992 is 29940448257.

It is a happy number.

75284404992 is a `hidden beast` number, since 75 + 2 + 8 + 440 + 49 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (75284404991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161208343 + ... + 161208809.

It is an arithmetic number, because the mean of its divisors is an integer number (786796920).

Almost surely, 2^75284404992 is an apocalyptic number.

75284404992 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 75284404992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113298756480).

75284404992 is an abundant number, since it is smaller than the sum of its proper divisors (151313107968).

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

75284404992 is a wasteful number, since it uses less digits than its factorization.

75284404992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 75284404992 in words is "seventy-five billion, two hundred eighty-four million, four hundred four thousand, nine hundred ninety-two".