75414600450 has 288 divisors, whose sum is σ = 242408484864. Its totient is φ = 17074463040.

The previous prime is 75414600419. The next prime is 75414600451. The reversal of 75414600450 is 5400641457.

75414600450 is a `hidden beast` number, since 7 + 5 + 4 + 1 + 4 + 600 + 45 + 0 = 666.

It is a super-2 number, since 2×75414600450² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75414600451) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9096207 + ... + 9104493.

It is an arithmetic number, because the mean of its divisors is an integer number (841696128).

Almost surely, 2^75414600450 is an apocalyptic number.

75414600450 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 75414600450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121204242432).

75414600450 is an abundant number, since it is smaller than the sum of its proper divisors (166993884414).

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

75414600450 is a wasteful number, since it uses less digits than its factorization.

75414600450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8428 (or 8411 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 75414600450 in words is "seventy-five billion, four hundred fourteen million, six hundred thousand, four hundred fifty".