75998482560 has 1536 divisors, whose sum is σ = 360884160000. Its totient is φ = 14522941440.

The previous prime is 75998482537. The next prime is 75998482589. The reversal of 75998482560 is 6528489957.

75998482560 is a `hidden beast` number, since 7 + 5 + 9 + 98 + 482 + 5 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 282522106 + ... + 282522374.

It is an arithmetic number, because the mean of its divisors is an integer number (234950625).

Almost surely, 2^75998482560 is an apocalyptic number.

75998482560 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 75998482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180442080000).

75998482560 is an abundant number, since it is smaller than the sum of its proper divisors (284885677440).

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

75998482560 is a wasteful number, since it uses less digits than its factorization.

75998482560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 75998482560 in words is "seventy-five billion, nine hundred ninety-eight million, four hundred eighty-two thousand, five hundred sixty".