75981918936 has 256 divisors, whose sum is σ = 241920691200. Its totient is φ = 19313049600.

The previous prime is 75981918917. The next prime is 75981918937. The reversal of 75981918936 is 63981918957.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75981918937) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51028080 + ... + 51029568.

It is an arithmetic number, because the mean of its divisors is an integer number (945002700).

Almost surely, 2^75981918936 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 75981918936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960345600).

75981918936 is an abundant number, since it is smaller than the sum of its proper divisors (165938772264).

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

75981918936 is a wasteful number, since it uses less digits than its factorization.

75981918936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2086 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 66.

The spelling of 75981918936 in words is "seventy-five billion, nine hundred eighty-one million, nine hundred eighteen thousand, nine hundred thirty-six".