75801264480 has 576 divisors, whose sum is σ = 281717968896. Its totient is φ = 19222272000.

The previous prime is 75801264439. The next prime is 75801264493. The reversal of 75801264480 is 8446210857.

75801264480 is a `hidden beast` number, since 7 + 5 + 80 + 126 + 448 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73521565 + ... + 73522595.

It is an arithmetic number, because the mean of its divisors is an integer number (489093696).

Almost surely, 2^75801264480 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 75801264480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140858984448).

75801264480 is an abundant number, since it is smaller than the sum of its proper divisors (205916704416).

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

75801264480 is a wasteful number, since it uses less digits than its factorization.

75801264480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 75801264480 in words is "seventy-five billion, eight hundred one million, two hundred sixty-four thousand, four hundred eighty".