75978965160 has 384 divisors, whose sum is σ = 291906201600. Its totient is φ = 16772106240.

The previous prime is 75978965159. The next prime is 75978965173. The reversal of 75978965160 is 6156987957.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68510686 + ... + 68511794.

It is an arithmetic number, because the mean of its divisors is an integer number (760172400).

Almost surely, 2^75978965160 is an apocalyptic number.

75978965160 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 75978965160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145953100800).

75978965160 is an abundant number, since it is smaller than the sum of its proper divisors (215927236440).

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

75978965160 is a wasteful number, since it uses less digits than its factorization.

75978965160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The spelling of 75978965160 in words is "seventy-five billion, nine hundred seventy-eight million, nine hundred sixty-five thousand, one hundred sixty".