75406173648 has 80 divisors (see below), whose sum is σ = 210312955776. Its totient is φ = 23143380480.

The previous prime is 75406173617. The next prime is 75406173653. The reversal of 75406173648 is 84637160457.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 75406173648.

It is a congruent number.

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, 95533 + ... + 399923.

Almost surely, 2^75406173648 is an apocalyptic number.

75406173648 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75406173648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105156477888).

75406173648 is an abundant number, since it is smaller than the sum of its proper divisors (134906782128).

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

75406173648 is a wasteful number, since it uses less digits than its factorization.

75406173648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304812 (or 304806 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 75406173648 in words is "seventy-five billion, four hundred six million, one hundred seventy-three thousand, six hundred forty-eight".