75406415994 has 128 divisors (see below), whose sum is σ = 209621583360. Its totient is φ = 19561305600.

The previous prime is 75406415947. The next prime is 75406415999. The reversal of 75406415994 is 49951460457.

75406415994 is a `hidden beast` number, since 7 + 5 + 4 + 0 + 6 + 41 + 599 + 4 = 666.

It is a super-2 number, since 2×75406415994² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 75406415994.

It is not an unprimeable number, because it can be changed into a prime (75406415999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173974 + ... + 425534.

It is an arithmetic number, because the mean of its divisors is an integer number (1637668620).

Almost surely, 2^75406415994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75406415994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104810791680).

75406415994 is an abundant number, since it is smaller than the sum of its proper divisors (134215167366).

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

75406415994 is a wasteful number, since it uses less digits than its factorization.

75406415994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251653 (or 251647 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 75406415994 in words is "seventy-five billion, four hundred six million, four hundred fifteen thousand, nine hundred ninety-four".