75949243920 has 640 divisors, whose sum is σ = 304231956480. Its totient is φ = 17230878720.

The previous prime is 75949243859. The next prime is 75949243927. The reversal of 75949243920 is 2934294957.

75949243920 is a `hidden beast` number, since 7 + 594 + 9 + 2 + 43 + 9 + 2 + 0 = 666.

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 (75949243927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25683082 + ... + 25686038.

It is an arithmetic number, because the mean of its divisors is an integer number (475362432).

Almost surely, 2^75949243920 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 75949243920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152115978240).

75949243920 is an abundant number, since it is smaller than the sum of its proper divisors (228282712560).

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

75949243920 is a wasteful number, since it uses less digits than its factorization.

75949243920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3060 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 75949243920 in words is "seventy-five billion, nine hundred forty-nine million, two hundred forty-three thousand, nine hundred twenty".