75978633984 has 144 divisors (see below), whose sum is σ = 228204587520. Its totient is φ = 22229831680.

The previous prime is 75978633977. The next prime is 75978634001. The reversal of 75978633984 is 48933687957.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89929 + ... + 400055.

It is an arithmetic number, because the mean of its divisors is an integer number (1584754080).

Almost surely, 2^75978633984 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 75978633984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114102293760).

75978633984 is an abundant number, since it is smaller than the sum of its proper divisors (152225953536).

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

75978633984 is a wasteful number, since it uses less digits than its factorization.

75978633984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310186 (or 310172 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 69.

The spelling of 75978633984 in words is "seventy-five billion, nine hundred seventy-eight million, six hundred thirty-three thousand, nine hundred eighty-four".