75428496000 has 1920 divisors, whose sum is σ = 340575515280. Its totient is φ = 16422912000.

The previous prime is 75428495983. The next prime is 75428496007. The reversal of 75428496000 is 69482457.

It is a happy number.

75428496000 is a `hidden beast` number, since 7 + 542 + 8 + 49 + 60 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3342689856 + 72085806144 = 57816^2 + 268488^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75428496007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2038607982 + ... + 2038608018.

Almost surely, 2^75428496000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75428496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170287757640).

75428496000 is an abundant number, since it is smaller than the sum of its proper divisors (265147019280).

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

75428496000 is a wasteful number, since it uses less digits than its factorization.

75428496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 75428496000 in words is "seventy-five billion, four hundred twenty-eight million, four hundred ninety-six thousand".