75485496240 has 640 divisors, whose sum is σ = 325479168000. Its totient is φ = 15621672960.

The previous prime is 75485496197. The next prime is 75485496293. The reversal of 75485496240 is 4269458457.

75485496240 is a `hidden beast` number, since 7 + 5 + 4 + 8 + 5 + 4 + 9 + 624 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48730986 + ... + 48732534.

It is an arithmetic number, because the mean of its divisors is an integer number (508561200).

Almost surely, 2^75485496240 is an apocalyptic number.

75485496240 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 75485496240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162739584000).

75485496240 is an abundant number, since it is smaller than the sum of its proper divisors (249993671760).

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

75485496240 is a wasteful number, since it uses less digits than its factorization.

75485496240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 75485496240 in words is "seventy-five billion, four hundred eighty-five million, four hundred ninety-six thousand, two hundred forty".