75909689856 has 720 divisors, whose sum is σ = 299530078848. Its totient is φ = 18192384000.

The previous prime is 75909689839. The next prime is 75909689861. The reversal of 75909689856 is 65898690957.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32287081 + ... + 32289431.

Almost surely, 2^75909689856 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 75909689856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149765039424).

75909689856 is an abundant number, since it is smaller than the sum of its proper divisors (223620388992).

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

75909689856 is a wasteful number, since it uses less digits than its factorization.

75909689856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 72.

The spelling of 75909689856 in words is "seventy-five billion, nine hundred nine million, six hundred eighty-nine thousand, eight hundred fifty-six".