75483394560 has 2400 divisors, whose sum is σ = 365763911040. Its totient is φ = 14714929152.

The previous prime is 75483394531. The next prime is 75483394601. The reversal of 75483394560 is 6549338457.

75483394560 is a `hidden beast` number, since 7 + 5 + 48 + 3 + 39 + 4 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 75483394497 and 75483394506.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3281886709 + ... + 3281886731.

Almost surely, 2^75483394560 is an apocalyptic number.

75483394560 is a gapful number since it is divisible by the number (70) 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 75483394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182881955520).

75483394560 is an abundant number, since it is smaller than the sum of its proper divisors (290280516480).

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

75483394560 is a wasteful number, since it uses less digits than its factorization.

75483394560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 75483394560 in words is "seventy-five billion, four hundred eighty-three million, three hundred ninety-four thousand, five hundred sixty".