75618320640 has 144 divisors (see below), whose sum is σ = 241671342528. Its totient is φ = 20151083008.

The previous prime is 75618320629. The next prime is 75618320681. The reversal of 75618320640 is 4602381657.

It is a junction number, because it is equal to n+sod(n) for n = 75618320592 and 75618320601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6395374 + ... + 6407186.

It is an arithmetic number, because the mean of its divisors is an integer number (1678273212).

Almost surely, 2^75618320640 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 75618320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120835671264).

75618320640 is an abundant number, since it is smaller than the sum of its proper divisors (166053021888).

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

75618320640 is a wasteful number, since it uses less digits than its factorization.

75618320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13504 (or 13490 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 75618320640 in words is "seventy-five billion, six hundred eighteen million, three hundred twenty thousand, six hundred forty".