75990657600 has 672 divisors, whose sum is σ = 325469585280. Its totient is φ = 17003520000.

The previous prime is 75990657583. The next prime is 75990657601. The reversal of 75990657600 is 675609957.

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

It is not an unprimeable number, because it can be changed into a prime (75990657601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6171450 + ... + 6183750.

It is an arithmetic number, because the mean of its divisors is an integer number (484329740).

Almost surely, 2^75990657600 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 75990657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162734792640).

75990657600 is an abundant number, since it is smaller than the sum of its proper divisors (249478927680).

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

75990657600 is a wasteful number, since it uses less digits than its factorization.

75990657600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12356 (or 12335 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 75990657600 in words is "seventy-five billion, nine hundred ninety million, six hundred fifty-seven thousand, six hundred".