75495504384 has 240 divisors, whose sum is σ = 228844936320. Its totient is φ = 24843386880.

The previous prime is 75495504377. The next prime is 75495504401. The reversal of 75495504384 is 48340559457.

It is a happy number.

75495504384 is a `hidden beast` number, since 7 + 5 + 4 + 9 + 550 + 4 + 3 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 75495504384.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9825024 + ... + 9832704.

It is an arithmetic number, because the mean of its divisors is an integer number (953520568).

Almost surely, 2^75495504384 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 75495504384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114422468160).

75495504384 is an abundant number, since it is smaller than the sum of its proper divisors (153349431936).

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

75495504384 is an frugal number, since it uses more digits than its factorization.

75495504384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7793 (or 7765 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 75495504384 in words is "seventy-five billion, four hundred ninety-five million, five hundred four thousand, three hundred eighty-four".