75420829440 has 648 divisors, whose sum is σ = 291858132384. Its totient is φ = 17963827200.

The previous prime is 75420829439. The next prime is 75420829447. The reversal of 75420829440 is 4492802457.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75420829447) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85028677 + ... + 85029563.

Almost surely, 2^75420829440 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 75420829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145929066192).

75420829440 is an abundant number, since it is smaller than the sum of its proper divisors (216437302944).

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

75420829440 is a wasteful number, since it uses less digits than its factorization.

75420829440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 75420829440 in words is "seventy-five billion, four hundred twenty million, eight hundred twenty-nine thousand, four hundred forty".